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Simplifying 4 + -1[7 + -3(5 + -2x)] = 4x + 2(7x + -1) 4 + -1[7 + (5 * -3 + -2x * -3)] = 4x + 2(7x + -1) 4 + -1[7 + (-15 + 6x)] = 4x + 2(7x + -1) Combine like terms: 7 + -15 = -8 4 + -1[-8 + 6x] = 4x + 2(7x + -1) 4 + [-8 * -1 + 6x * -1] = 4x + 2(7x + -1) 4 + [8 + -6x] = 4x + 2(7x + -1) Combine like terms: 4 + 8 = 12 12 + -6x = 4x + 2(7x + -1) Reorder the terms: 12 + -6x = 4x + 2(-1 + 7x) 12 + -6x = 4x + (-1 * 2 + 7x * 2) 12 + -6x = 4x + (-2 + 14x) Reorder the terms: 12 + -6x = -2 + 4x + 14x Combine like terms: 4x + 14x = 18x 12 + -6x = -2 + 18x Solving 12 + -6x = -2 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 12 + -6x + -18x = -2 + 18x + -18x Combine like terms: -6x + -18x = -24x 12 + -24x = -2 + 18x + -18x Combine like terms: 18x + -18x = 0 12 + -24x = -2 + 0 12 + -24x = -2 Add '-12' to each side of the equation. 12 + -12 + -24x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -24x = -2 + -12 -24x = -2 + -12 Combine like terms: -2 + -12 = -14 -24x = -14 Divide each side by '-24'. x = 0.5833333333 Simplifying x = 0.5833333333
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