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Simplifying 4(2x + -4) = 3(3x + -7) Reorder the terms: 4(-4 + 2x) = 3(3x + -7) (-4 * 4 + 2x * 4) = 3(3x + -7) (-16 + 8x) = 3(3x + -7) Reorder the terms: -16 + 8x = 3(-7 + 3x) -16 + 8x = (-7 * 3 + 3x * 3) -16 + 8x = (-21 + 9x) Solving -16 + 8x = -21 + 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. -16 + 8x + -9x = -21 + 9x + -9x Combine like terms: 8x + -9x = -1x -16 + -1x = -21 + 9x + -9x Combine like terms: 9x + -9x = 0 -16 + -1x = -21 + 0 -16 + -1x = -21 Add '16' to each side of the equation. -16 + 16 + -1x = -21 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = -21 + 16 -1x = -21 + 16 Combine like terms: -21 + 16 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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