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Simplifying -1[10x + -1(3x + -10)] = -3[4(3x + -4) + -3x] Reorder the terms: -1[10x + -1(-10 + 3x)] = -3[4(3x + -4) + -3x] -1[10x + (-10 * -1 + 3x * -1)] = -3[4(3x + -4) + -3x] -1[10x + (10 + -3x)] = -3[4(3x + -4) + -3x] Reorder the terms: -1[10 + 10x + -3x] = -3[4(3x + -4) + -3x] Combine like terms: 10x + -3x = 7x -1[10 + 7x] = -3[4(3x + -4) + -3x] [10 * -1 + 7x * -1] = -3[4(3x + -4) + -3x] [-10 + -7x] = -3[4(3x + -4) + -3x] Reorder the terms: -10 + -7x = -3[4(-4 + 3x) + -3x] -10 + -7x = -3[(-4 * 4 + 3x * 4) + -3x] -10 + -7x = -3[(-16 + 12x) + -3x] Combine like terms: 12x + -3x = 9x -10 + -7x = -3[-16 + 9x] -10 + -7x = [-16 * -3 + 9x * -3] -10 + -7x = [48 + -27x] Solving -10 + -7x = 48 + -27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27x' to each side of the equation. -10 + -7x + 27x = 48 + -27x + 27x Combine like terms: -7x + 27x = 20x -10 + 20x = 48 + -27x + 27x Combine like terms: -27x + 27x = 0 -10 + 20x = 48 + 0 -10 + 20x = 48 Add '10' to each side of the equation. -10 + 10 + 20x = 48 + 10 Combine like terms: -10 + 10 = 0 0 + 20x = 48 + 10 20x = 48 + 10 Combine like terms: 48 + 10 = 58 20x = 58 Divide each side by '20'. x = 2.9 Simplifying x = 2.9
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