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