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Simplifying 3x + -4(x + -2) = 13 + -3(4 + x) Reorder the terms: 3x + -4(-2 + x) = 13 + -3(4 + x) 3x + (-2 * -4 + x * -4) = 13 + -3(4 + x) 3x + (8 + -4x) = 13 + -3(4 + x) Reorder the terms: 8 + 3x + -4x = 13 + -3(4 + x) Combine like terms: 3x + -4x = -1x 8 + -1x = 13 + -3(4 + x) 8 + -1x = 13 + (4 * -3 + x * -3) 8 + -1x = 13 + (-12 + -3x) Combine like terms: 13 + -12 = 1 8 + -1x = 1 + -3x Solving 8 + -1x = 1 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8 + -1x + 3x = 1 + -3x + 3x Combine like terms: -1x + 3x = 2x 8 + 2x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 2x = 1 + 0 8 + 2x = 1 Add '-8' to each side of the equation. 8 + -8 + 2x = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 1 + -8 2x = 1 + -8 Combine like terms: 1 + -8 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5
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