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Simplifying 3(x + -9) + -4(x + 1) = -5(x + 3) Reorder the terms: 3(-9 + x) + -4(x + 1) = -5(x + 3) (-9 * 3 + x * 3) + -4(x + 1) = -5(x + 3) (-27 + 3x) + -4(x + 1) = -5(x + 3) Reorder the terms: -27 + 3x + -4(1 + x) = -5(x + 3) -27 + 3x + (1 * -4 + x * -4) = -5(x + 3) -27 + 3x + (-4 + -4x) = -5(x + 3) Reorder the terms: -27 + -4 + 3x + -4x = -5(x + 3) Combine like terms: -27 + -4 = -31 -31 + 3x + -4x = -5(x + 3) Combine like terms: 3x + -4x = -1x -31 + -1x = -5(x + 3) Reorder the terms: -31 + -1x = -5(3 + x) -31 + -1x = (3 * -5 + x * -5) -31 + -1x = (-15 + -5x) Solving -31 + -1x = -15 + -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. -31 + -1x + 5x = -15 + -5x + 5x Combine like terms: -1x + 5x = 4x -31 + 4x = -15 + -5x + 5x Combine like terms: -5x + 5x = 0 -31 + 4x = -15 + 0 -31 + 4x = -15 Add '31' to each side of the equation. -31 + 31 + 4x = -15 + 31 Combine like terms: -31 + 31 = 0 0 + 4x = -15 + 31 4x = -15 + 31 Combine like terms: -15 + 31 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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