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Simplifying 4x + 13 + -1[2x + -1(4x + -12) + -5] = 2x + -12 Reorder the terms: 4x + 13 + -1[2x + -1(-12 + 4x) + -5] = 2x + -12 4x + 13 + -1[2x + (-12 * -1 + 4x * -1) + -5] = 2x + -12 4x + 13 + -1[2x + (12 + -4x) + -5] = 2x + -12 Reorder the terms: 4x + 13 + -1[12 + -5 + 2x + -4x] = 2x + -12 Combine like terms: 12 + -5 = 7 4x + 13 + -1[7 + 2x + -4x] = 2x + -12 Combine like terms: 2x + -4x = -2x 4x + 13 + -1[7 + -2x] = 2x + -12 4x + 13 + [7 * -1 + -2x * -1] = 2x + -12 4x + 13 + [-7 + 2x] = 2x + -12 Reorder the terms: 13 + -7 + 4x + 2x = 2x + -12 Combine like terms: 13 + -7 = 6 6 + 4x + 2x = 2x + -12 Combine like terms: 4x + 2x = 6x 6 + 6x = 2x + -12 Reorder the terms: 6 + 6x = -12 + 2x Solving 6 + 6x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + 6x + -2x = -12 + 2x + -2x Combine like terms: 6x + -2x = 4x 6 + 4x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 4x = -12 + 0 6 + 4x = -12 Add '-6' to each side of the equation. 6 + -6 + 4x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = -12 + -6 4x = -12 + -6 Combine like terms: -12 + -6 = -18 4x = -18 Divide each side by '4'. x = -4.5 Simplifying x = -4.5
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