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Simplifying 4(x + -1) + 3(3 + 2) = 5(x + -4) Reorder the terms: 4(-1 + x) + 3(3 + 2) = 5(x + -4) (-1 * 4 + x * 4) + 3(3 + 2) = 5(x + -4) (-4 + 4x) + 3(3 + 2) = 5(x + -4) Combine like terms: 3 + 2 = 5 -4 + 4x + 3(5) = 5(x + -4) Multiply 3 * 5 -4 + 4x + 15 = 5(x + -4) Reorder the terms: -4 + 15 + 4x = 5(x + -4) Combine like terms: -4 + 15 = 11 11 + 4x = 5(x + -4) Reorder the terms: 11 + 4x = 5(-4 + x) 11 + 4x = (-4 * 5 + x * 5) 11 + 4x = (-20 + 5x) Solving 11 + 4x = -20 + 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. 11 + 4x + -5x = -20 + 5x + -5x Combine like terms: 4x + -5x = -1x 11 + -1x = -20 + 5x + -5x Combine like terms: 5x + -5x = 0 11 + -1x = -20 + 0 11 + -1x = -20 Add '-11' to each side of the equation. 11 + -11 + -1x = -20 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = -20 + -11 -1x = -20 + -11 Combine like terms: -20 + -11 = -31 -1x = -31 Divide each side by '-1'. x = 31 Simplifying x = 31
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