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Simplifying -8(0.75x + -7) = -8(0.5x + 3) Reorder the terms: -8(-7 + 0.75x) = -8(0.5x + 3) (-7 * -8 + 0.75x * -8) = -8(0.5x + 3) (56 + -6x) = -8(0.5x + 3) Reorder the terms: 56 + -6x = -8(3 + 0.5x) 56 + -6x = (3 * -8 + 0.5x * -8) 56 + -6x = (-24 + -4x) Solving 56 + -6x = -24 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 56 + -6x + 4x = -24 + -4x + 4x Combine like terms: -6x + 4x = -2x 56 + -2x = -24 + -4x + 4x Combine like terms: -4x + 4x = 0 56 + -2x = -24 + 0 56 + -2x = -24 Add '-56' to each side of the equation. 56 + -56 + -2x = -24 + -56 Combine like terms: 56 + -56 = 0 0 + -2x = -24 + -56 -2x = -24 + -56 Combine like terms: -24 + -56 = -80 -2x = -80 Divide each side by '-2'. x = 40 Simplifying x = 40
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