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Simplifying 5(2x + -7) = 4(2x + -12) Reorder the terms: 5(-7 + 2x) = 4(2x + -12) (-7 * 5 + 2x * 5) = 4(2x + -12) (-35 + 10x) = 4(2x + -12) Reorder the terms: -35 + 10x = 4(-12 + 2x) -35 + 10x = (-12 * 4 + 2x * 4) -35 + 10x = (-48 + 8x) Solving -35 + 10x = -48 + 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. -35 + 10x + -8x = -48 + 8x + -8x Combine like terms: 10x + -8x = 2x -35 + 2x = -48 + 8x + -8x Combine like terms: 8x + -8x = 0 -35 + 2x = -48 + 0 -35 + 2x = -48 Add '35' to each side of the equation. -35 + 35 + 2x = -48 + 35 Combine like terms: -35 + 35 = 0 0 + 2x = -48 + 35 2x = -48 + 35 Combine like terms: -48 + 35 = -13 2x = -13 Divide each side by '2'. x = -6.5 Simplifying x = -6.5
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