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Simplifying -3(x + -4) + 7x = 8x + -9 Reorder the terms: -3(-4 + x) + 7x = 8x + -9 (-4 * -3 + x * -3) + 7x = 8x + -9 (12 + -3x) + 7x = 8x + -9 Combine like terms: -3x + 7x = 4x 12 + 4x = 8x + -9 Reorder the terms: 12 + 4x = -9 + 8x Solving 12 + 4x = -9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + 4x + -8x = -9 + 8x + -8x Combine like terms: 4x + -8x = -4x 12 + -4x = -9 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -4x = -9 + 0 12 + -4x = -9 Add '-12' to each side of the equation. 12 + -12 + -4x = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -9 + -12 -4x = -9 + -12 Combine like terms: -9 + -12 = -21 -4x = -21 Divide each side by '-4'. x = 5.25 Simplifying x = 5.25
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