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Simplifying 7 + -1[8x + -3(x + 3)] = 5x + -1(4 + -2x) Reorder the terms: 7 + -1[8x + -3(3 + x)] = 5x + -1(4 + -2x) 7 + -1[8x + (3 * -3 + x * -3)] = 5x + -1(4 + -2x) 7 + -1[8x + (-9 + -3x)] = 5x + -1(4 + -2x) Reorder the terms: 7 + -1[-9 + 8x + -3x] = 5x + -1(4 + -2x) Combine like terms: 8x + -3x = 5x 7 + -1[-9 + 5x] = 5x + -1(4 + -2x) 7 + [-9 * -1 + 5x * -1] = 5x + -1(4 + -2x) 7 + [9 + -5x] = 5x + -1(4 + -2x) Combine like terms: 7 + 9 = 16 16 + -5x = 5x + -1(4 + -2x) 16 + -5x = 5x + (4 * -1 + -2x * -1) 16 + -5x = 5x + (-4 + 2x) Reorder the terms: 16 + -5x = -4 + 5x + 2x Combine like terms: 5x + 2x = 7x 16 + -5x = -4 + 7x Solving 16 + -5x = -4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 16 + -5x + -7x = -4 + 7x + -7x Combine like terms: -5x + -7x = -12x 16 + -12x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 16 + -12x = -4 + 0 16 + -12x = -4 Add '-16' to each side of the equation. 16 + -16 + -12x = -4 + -16 Combine like terms: 16 + -16 = 0 0 + -12x = -4 + -16 -12x = -4 + -16 Combine like terms: -4 + -16 = -20 -12x = -20 Divide each side by '-12'. x = 1.666666667 Simplifying x = 1.666666667
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