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Simplifying 5(x + -7) = 4(2x + -3) Reorder the terms: 5(-7 + x) = 4(2x + -3) (-7 * 5 + x * 5) = 4(2x + -3) (-35 + 5x) = 4(2x + -3) Reorder the terms: -35 + 5x = 4(-3 + 2x) -35 + 5x = (-3 * 4 + 2x * 4) -35 + 5x = (-12 + 8x) Solving -35 + 5x = -12 + 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 + 5x + -8x = -12 + 8x + -8x Combine like terms: 5x + -8x = -3x -35 + -3x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 -35 + -3x = -12 + 0 -35 + -3x = -12 Add '35' to each side of the equation. -35 + 35 + -3x = -12 + 35 Combine like terms: -35 + 35 = 0 0 + -3x = -12 + 35 -3x = -12 + 35 Combine like terms: -12 + 35 = 23 -3x = 23 Divide each side by '-3'. x = -7.666666667 Simplifying x = -7.666666667
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