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Simplifying 5(x + -3) + -4(x + 3) = 3(x + -1) Reorder the terms: 5(-3 + x) + -4(x + 3) = 3(x + -1) (-3 * 5 + x * 5) + -4(x + 3) = 3(x + -1) (-15 + 5x) + -4(x + 3) = 3(x + -1) Reorder the terms: -15 + 5x + -4(3 + x) = 3(x + -1) -15 + 5x + (3 * -4 + x * -4) = 3(x + -1) -15 + 5x + (-12 + -4x) = 3(x + -1) Reorder the terms: -15 + -12 + 5x + -4x = 3(x + -1) Combine like terms: -15 + -12 = -27 -27 + 5x + -4x = 3(x + -1) Combine like terms: 5x + -4x = 1x -27 + 1x = 3(x + -1) Reorder the terms: -27 + 1x = 3(-1 + x) -27 + 1x = (-1 * 3 + x * 3) -27 + 1x = (-3 + 3x) Solving -27 + 1x = -3 + 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. -27 + 1x + -3x = -3 + 3x + -3x Combine like terms: 1x + -3x = -2x -27 + -2x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -27 + -2x = -3 + 0 -27 + -2x = -3 Add '27' to each side of the equation. -27 + 27 + -2x = -3 + 27 Combine like terms: -27 + 27 = 0 0 + -2x = -3 + 27 -2x = -3 + 27 Combine like terms: -3 + 27 = 24 -2x = 24 Divide each side by '-2'. x = -12 Simplifying x = -12
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