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