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Simplifying 5(2x + -7) = 3(4x + 9) Reorder the terms: 5(-7 + 2x) = 3(4x + 9) (-7 * 5 + 2x * 5) = 3(4x + 9) (-35 + 10x) = 3(4x + 9) Reorder the terms: -35 + 10x = 3(9 + 4x) -35 + 10x = (9 * 3 + 4x * 3) -35 + 10x = (27 + 12x) Solving -35 + 10x = 27 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -35 + 10x + -12x = 27 + 12x + -12x Combine like terms: 10x + -12x = -2x -35 + -2x = 27 + 12x + -12x Combine like terms: 12x + -12x = 0 -35 + -2x = 27 + 0 -35 + -2x = 27 Add '35' to each side of the equation. -35 + 35 + -2x = 27 + 35 Combine like terms: -35 + 35 = 0 0 + -2x = 27 + 35 -2x = 27 + 35 Combine like terms: 27 + 35 = 62 -2x = 62 Divide each side by '-2'. x = -31 Simplifying x = -31
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