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Simplifying 3[2(x + 1) + -4] = 10 + -5(4 + -2x) Reorder the terms: 3[2(1 + x) + -4] = 10 + -5(4 + -2x) 3[(1 * 2 + x * 2) + -4] = 10 + -5(4 + -2x) 3[(2 + 2x) + -4] = 10 + -5(4 + -2x) Reorder the terms: 3[2 + -4 + 2x] = 10 + -5(4 + -2x) Combine like terms: 2 + -4 = -2 3[-2 + 2x] = 10 + -5(4 + -2x) [-2 * 3 + 2x * 3] = 10 + -5(4 + -2x) [-6 + 6x] = 10 + -5(4 + -2x) -6 + 6x = 10 + (4 * -5 + -2x * -5) -6 + 6x = 10 + (-20 + 10x) Combine like terms: 10 + -20 = -10 -6 + 6x = -10 + 10x Solving -6 + 6x = -10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -6 + 6x + -10x = -10 + 10x + -10x Combine like terms: 6x + -10x = -4x -6 + -4x = -10 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + -4x = -10 + 0 -6 + -4x = -10 Add '6' to each side of the equation. -6 + 6 + -4x = -10 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = -10 + 6 -4x = -10 + 6 Combine like terms: -10 + 6 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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