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Simplifying -12x + 3(x + -5) + 8x = 9x + -55 Reorder the terms: -12x + 3(-5 + x) + 8x = 9x + -55 -12x + (-5 * 3 + x * 3) + 8x = 9x + -55 -12x + (-15 + 3x) + 8x = 9x + -55 Reorder the terms: -15 + -12x + 3x + 8x = 9x + -55 Combine like terms: -12x + 3x = -9x -15 + -9x + 8x = 9x + -55 Combine like terms: -9x + 8x = -1x -15 + -1x = 9x + -55 Reorder the terms: -15 + -1x = -55 + 9x Solving -15 + -1x = -55 + 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. -15 + -1x + -9x = -55 + 9x + -9x Combine like terms: -1x + -9x = -10x -15 + -10x = -55 + 9x + -9x Combine like terms: 9x + -9x = 0 -15 + -10x = -55 + 0 -15 + -10x = -55 Add '15' to each side of the equation. -15 + 15 + -10x = -55 + 15 Combine like terms: -15 + 15 = 0 0 + -10x = -55 + 15 -10x = -55 + 15 Combine like terms: -55 + 15 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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