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Simplifying 3(x + -5) = 4(x + 9) Reorder the terms: 3(-5 + x) = 4(x + 9) (-5 * 3 + x * 3) = 4(x + 9) (-15 + 3x) = 4(x + 9) Reorder the terms: -15 + 3x = 4(9 + x) -15 + 3x = (9 * 4 + x * 4) -15 + 3x = (36 + 4x) Solving -15 + 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. -15 + 3x + -4x = 36 + 4x + -4x Combine like terms: 3x + -4x = -1x -15 + -1x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + -1x = 36 + 0 -15 + -1x = 36 Add '15' to each side of the equation. -15 + 15 + -1x = 36 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 36 + 15 -1x = 36 + 15 Combine like terms: 36 + 15 = 51 -1x = 51 Divide each side by '-1'. x = -51 Simplifying x = -51
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