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Simplifying 3(x + -4) + 5(x + -3) = 2x + -27 Reorder the terms: 3(-4 + x) + 5(x + -3) = 2x + -27 (-4 * 3 + x * 3) + 5(x + -3) = 2x + -27 (-12 + 3x) + 5(x + -3) = 2x + -27 Reorder the terms: -12 + 3x + 5(-3 + x) = 2x + -27 -12 + 3x + (-3 * 5 + x * 5) = 2x + -27 -12 + 3x + (-15 + 5x) = 2x + -27 Reorder the terms: -12 + -15 + 3x + 5x = 2x + -27 Combine like terms: -12 + -15 = -27 -27 + 3x + 5x = 2x + -27 Combine like terms: 3x + 5x = 8x -27 + 8x = 2x + -27 Reorder the terms: -27 + 8x = -27 + 2x Add '27' to each side of the equation. -27 + 27 + 8x = -27 + 27 + 2x Combine like terms: -27 + 27 = 0 0 + 8x = -27 + 27 + 2x 8x = -27 + 27 + 2x Combine like terms: -27 + 27 = 0 8x = 0 + 2x 8x = 2x Solving 8x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8x + -2x = 2x + -2x Combine like terms: 8x + -2x = 6x 6x = 2x + -2x Combine like terms: 2x + -2x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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