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Simplifying 5(x + -7) = 3(2x + -4) Reorder the terms: 5(-7 + x) = 3(2x + -4) (-7 * 5 + x * 5) = 3(2x + -4) (-35 + 5x) = 3(2x + -4) Reorder the terms: -35 + 5x = 3(-4 + 2x) -35 + 5x = (-4 * 3 + 2x * 3) -35 + 5x = (-12 + 6x) Solving -35 + 5x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -35 + 5x + -6x = -12 + 6x + -6x Combine like terms: 5x + -6x = -1x -35 + -1x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -35 + -1x = -12 + 0 -35 + -1x = -12 Add '35' to each side of the equation. -35 + 35 + -1x = -12 + 35 Combine like terms: -35 + 35 = 0 0 + -1x = -12 + 35 -1x = -12 + 35 Combine like terms: -12 + 35 = 23 -1x = 23 Divide each side by '-1'. x = -23 Simplifying x = -23
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