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Simplifying [-10x + -1(2x + 5)] = -4[4(3x + -4) + -2x] Reorder the terms: [-10x + -1(5 + 2x)] = -4[4(3x + -4) + -2x] [-10x + (5 * -1 + 2x * -1)] = -4[4(3x + -4) + -2x] [-10x + (-5 + -2x)] = -4[4(3x + -4) + -2x] Reorder the terms: [-5 + -10x + -2x] = -4[4(3x + -4) + -2x] Combine like terms: -10x + -2x = -12x [-5 + -12x] = -4[4(3x + -4) + -2x] Remove brackets around [-5 + -12x] -5 + -12x = -4[4(3x + -4) + -2x] Reorder the terms: -5 + -12x = -4[4(-4 + 3x) + -2x] -5 + -12x = -4[(-4 * 4 + 3x * 4) + -2x] -5 + -12x = -4[(-16 + 12x) + -2x] Combine like terms: 12x + -2x = 10x -5 + -12x = -4[-16 + 10x] -5 + -12x = [-16 * -4 + 10x * -4] -5 + -12x = [64 + -40x] Solving -5 + -12x = 64 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. -5 + -12x + 40x = 64 + -40x + 40x Combine like terms: -12x + 40x = 28x -5 + 28x = 64 + -40x + 40x Combine like terms: -40x + 40x = 0 -5 + 28x = 64 + 0 -5 + 28x = 64 Add '5' to each side of the equation. -5 + 5 + 28x = 64 + 5 Combine like terms: -5 + 5 = 0 0 + 28x = 64 + 5 28x = 64 + 5 Combine like terms: 64 + 5 = 69 28x = 69 Divide each side by '28'. x = 2.464285714 Simplifying x = 2.464285714
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