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Simplifying 5x + -1(2x + -3) = 4(x + 9) Reorder the terms: 5x + -1(-3 + 2x) = 4(x + 9) 5x + (-3 * -1 + 2x * -1) = 4(x + 9) 5x + (3 + -2x) = 4(x + 9) Reorder the terms: 3 + 5x + -2x = 4(x + 9) Combine like terms: 5x + -2x = 3x 3 + 3x = 4(x + 9) Reorder the terms: 3 + 3x = 4(9 + x) 3 + 3x = (9 * 4 + x * 4) 3 + 3x = (36 + 4x) Solving 3 + 3x = 36 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 3x + -4x = 36 + 4x + -4x Combine like terms: 3x + -4x = -1x 3 + -1x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -1x = 36 + 0 3 + -1x = 36 Add '-3' to each side of the equation. 3 + -3 + -1x = 36 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 36 + -3 -1x = 36 + -3 Combine like terms: 36 + -3 = 33 -1x = 33 Divide each side by '-1'. x = -33 Simplifying x = -33
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