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Simplifying 7 + -1[2(3x + 4) + -5] = x + -3 Reorder the terms: 7 + -1[2(4 + 3x) + -5] = x + -3 7 + -1[(4 * 2 + 3x * 2) + -5] = x + -3 7 + -1[(8 + 6x) + -5] = x + -3 Reorder the terms: 7 + -1[8 + -5 + 6x] = x + -3 Combine like terms: 8 + -5 = 3 7 + -1[3 + 6x] = x + -3 7 + [3 * -1 + 6x * -1] = x + -3 7 + [-3 + -6x] = x + -3 Combine like terms: 7 + -3 = 4 4 + -6x = x + -3 Reorder the terms: 4 + -6x = -3 + x Solving 4 + -6x = -3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4 + -6x + -1x = -3 + x + -1x Combine like terms: -6x + -1x = -7x 4 + -7x = -3 + x + -1x Combine like terms: x + -1x = 0 4 + -7x = -3 + 0 4 + -7x = -3 Add '-4' to each side of the equation. 4 + -4 + -7x = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = -3 + -4 -7x = -3 + -4 Combine like terms: -3 + -4 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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