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Simplifying 3(x + -9) + -4(x + 7) = 9x Reorder the terms: 3(-9 + x) + -4(x + 7) = 9x (-9 * 3 + x * 3) + -4(x + 7) = 9x (-27 + 3x) + -4(x + 7) = 9x Reorder the terms: -27 + 3x + -4(7 + x) = 9x -27 + 3x + (7 * -4 + x * -4) = 9x -27 + 3x + (-28 + -4x) = 9x Reorder the terms: -27 + -28 + 3x + -4x = 9x Combine like terms: -27 + -28 = -55 -55 + 3x + -4x = 9x Combine like terms: 3x + -4x = -1x -55 + -1x = 9x Solving -55 + -1x = 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. -55 + -1x + -9x = 9x + -9x Combine like terms: -1x + -9x = -10x -55 + -10x = 9x + -9x Combine like terms: 9x + -9x = 0 -55 + -10x = 0 Add '55' to each side of the equation. -55 + 55 + -10x = 0 + 55 Combine like terms: -55 + 55 = 0 0 + -10x = 0 + 55 -10x = 0 + 55 Combine like terms: 0 + 55 = 55 -10x = 55 Divide each side by '-10'. x = -5.5 Simplifying x = -5.5
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