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Simplifying 2(5x + -2) = 3[2(x + 1) + 14] Reorder the terms: 2(-2 + 5x) = 3[2(x + 1) + 14] (-2 * 2 + 5x * 2) = 3[2(x + 1) + 14] (-4 + 10x) = 3[2(x + 1) + 14] Reorder the terms: -4 + 10x = 3[2(1 + x) + 14] -4 + 10x = 3[(1 * 2 + x * 2) + 14] -4 + 10x = 3[(2 + 2x) + 14] Reorder the terms: -4 + 10x = 3[2 + 14 + 2x] Combine like terms: 2 + 14 = 16 -4 + 10x = 3[16 + 2x] -4 + 10x = [16 * 3 + 2x * 3] -4 + 10x = [48 + 6x] Solving -4 + 10x = 48 + 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 + 10x + -6x = 48 + 6x + -6x Combine like terms: 10x + -6x = 4x -4 + 4x = 48 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 4x = 48 + 0 -4 + 4x = 48 Add '4' to each side of the equation. -4 + 4 + 4x = 48 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 48 + 4 4x = 48 + 4 Combine like terms: 48 + 4 = 52 4x = 52 Divide each side by '4'. x = 13 Simplifying x = 13
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