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Simplifying 5(-2x + 9) = -2(3x + -7) Reorder the terms: 5(9 + -2x) = -2(3x + -7) (9 * 5 + -2x * 5) = -2(3x + -7) (45 + -10x) = -2(3x + -7) Reorder the terms: 45 + -10x = -2(-7 + 3x) 45 + -10x = (-7 * -2 + 3x * -2) 45 + -10x = (14 + -6x) Solving 45 + -10x = 14 + -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. 45 + -10x + 6x = 14 + -6x + 6x Combine like terms: -10x + 6x = -4x 45 + -4x = 14 + -6x + 6x Combine like terms: -6x + 6x = 0 45 + -4x = 14 + 0 45 + -4x = 14 Add '-45' to each side of the equation. 45 + -45 + -4x = 14 + -45 Combine like terms: 45 + -45 = 0 0 + -4x = 14 + -45 -4x = 14 + -45 Combine like terms: 14 + -45 = -31 -4x = -31 Divide each side by '-4'. x = 7.75 Simplifying x = 7.75
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