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Simplifying 4x + 13 + -1(2x + -1(4(x + -3) + -5)) = 2x + -12 Reorder the terms: 4x + 13 + -1(2x + -1(4(-3 + x) + -5)) = 2x + -12 4x + 13 + -1(2x + -1((-3 * 4 + x * 4) + -5)) = 2x + -12 4x + 13 + -1(2x + -1((-12 + 4x) + -5)) = 2x + -12 Reorder the terms: 4x + 13 + -1(2x + -1(-12 + -5 + 4x)) = 2x + -12 Combine like terms: -12 + -5 = -17 4x + 13 + -1(2x + -1(-17 + 4x)) = 2x + -12 4x + 13 + -1(2x + (-17 * -1 + 4x * -1)) = 2x + -12 4x + 13 + -1(2x + (17 + -4x)) = 2x + -12 Reorder the terms: 4x + 13 + -1(17 + 2x + -4x) = 2x + -12 Combine like terms: 2x + -4x = -2x 4x + 13 + -1(17 + -2x) = 2x + -12 4x + 13 + (17 * -1 + -2x * -1) = 2x + -12 4x + 13 + (-17 + 2x) = 2x + -12 Reorder the terms: 13 + -17 + 4x + 2x = 2x + -12 Combine like terms: 13 + -17 = -4 -4 + 4x + 2x = 2x + -12 Combine like terms: 4x + 2x = 6x -4 + 6x = 2x + -12 Reorder the terms: -4 + 6x = -12 + 2x Solving -4 + 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. -4 + 6x + -2x = -12 + 2x + -2x Combine like terms: 6x + -2x = 4x -4 + 4x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + 4x = -12 + 0 -4 + 4x = -12 Add '4' to each side of the equation. -4 + 4 + 4x = -12 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = -12 + 4 4x = -12 + 4 Combine like terms: -12 + 4 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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