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Simplifying [5(x + 1) + -3] + [4(x + -2) + 3] = [4(2x + 3) + -7] Reorder the terms: [5(1 + x) + -3] + [4(x + -2) + 3] = [4(2x + 3) + -7] [(1 * 5 + x * 5) + -3] + [4(x + -2) + 3] = [4(2x + 3) + -7] [(5 + 5x) + -3] + [4(x + -2) + 3] = [4(2x + 3) + -7] Reorder the terms: [5 + -3 + 5x] + [4(x + -2) + 3] = [4(2x + 3) + -7] Combine like terms: 5 + -3 = 2 [2 + 5x] + [4(x + -2) + 3] = [4(2x + 3) + -7] Remove brackets around [2 + 5x] 2 + 5x + [4(x + -2) + 3] = [4(2x + 3) + -7] Reorder the terms: 2 + 5x + [4(-2 + x) + 3] = [4(2x + 3) + -7] 2 + 5x + [(-2 * 4 + x * 4) + 3] = [4(2x + 3) + -7] 2 + 5x + [(-8 + 4x) + 3] = [4(2x + 3) + -7] Reorder the terms: 2 + 5x + [-8 + 3 + 4x] = [4(2x + 3) + -7] Combine like terms: -8 + 3 = -5 2 + 5x + [-5 + 4x] = [4(2x + 3) + -7] Remove brackets around [-5 + 4x] 2 + 5x + -5 + 4x = [4(2x + 3) + -7] Reorder the terms: 2 + -5 + 5x + 4x = [4(2x + 3) + -7] Combine like terms: 2 + -5 = -3 -3 + 5x + 4x = [4(2x + 3) + -7] Combine like terms: 5x + 4x = 9x -3 + 9x = [4(2x + 3) + -7] Reorder the terms: -3 + 9x = [4(3 + 2x) + -7] -3 + 9x = [(3 * 4 + 2x * 4) + -7] -3 + 9x = [(12 + 8x) + -7] Reorder the terms: -3 + 9x = [12 + -7 + 8x] Combine like terms: 12 + -7 = 5 -3 + 9x = [5 + 8x] Remove brackets around [5 + 8x] -3 + 9x = 5 + 8x Solving -3 + 9x = 5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -3 + 9x + -8x = 5 + 8x + -8x Combine like terms: 9x + -8x = 1x -3 + 1x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 -3 + 1x = 5 + 0 -3 + 1x = 5 Add '3' to each side of the equation. -3 + 3 + 1x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 5 + 3 1x = 5 + 3 Combine like terms: 5 + 3 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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