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Simplifying [2(x + 3) + -10] = [2(3x + -9) + 11] Reorder the terms: [2(3 + x) + -10] = [2(3x + -9) + 11] [(3 * 2 + x * 2) + -10] = [2(3x + -9) + 11] [(6 + 2x) + -10] = [2(3x + -9) + 11] Reorder the terms: [6 + -10 + 2x] = [2(3x + -9) + 11] Combine like terms: 6 + -10 = -4 [-4 + 2x] = [2(3x + -9) + 11] Remove brackets around [-4 + 2x] -4 + 2x = [2(3x + -9) + 11] Reorder the terms: -4 + 2x = [2(-9 + 3x) + 11] -4 + 2x = [(-9 * 2 + 3x * 2) + 11] -4 + 2x = [(-18 + 6x) + 11] Reorder the terms: -4 + 2x = [-18 + 11 + 6x] Combine like terms: -18 + 11 = -7 -4 + 2x = [-7 + 6x] Remove brackets around [-7 + 6x] -4 + 2x = -7 + 6x Solving -4 + 2x = -7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 2x + -6x = -7 + 6x + -6x Combine like terms: 2x + -6x = -4x -4 + -4x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + -4x = -7 + 0 -4 + -4x = -7 Add '4' to each side of the equation. -4 + 4 + -4x = -7 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = -7 + 4 -4x = -7 + 4 Combine like terms: -7 + 4 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75
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