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Simplifying 3(x + -4) + 5x = 9x + -27 Reorder the terms: 3(-4 + x) + 5x = 9x + -27 (-4 * 3 + x * 3) + 5x = 9x + -27 (-12 + 3x) + 5x = 9x + -27 Combine like terms: 3x + 5x = 8x -12 + 8x = 9x + -27 Reorder the terms: -12 + 8x = -27 + 9x Solving -12 + 8x = -27 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -12 + 8x + -9x = -27 + 9x + -9x Combine like terms: 8x + -9x = -1x -12 + -1x = -27 + 9x + -9x Combine like terms: 9x + -9x = 0 -12 + -1x = -27 + 0 -12 + -1x = -27 Add '12' to each side of the equation. -12 + 12 + -1x = -27 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = -27 + 12 -1x = -27 + 12 Combine like terms: -27 + 12 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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