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Simplifying 5(2x + 7) = 3(3x + -4) Reorder the terms: 5(7 + 2x) = 3(3x + -4) (7 * 5 + 2x * 5) = 3(3x + -4) (35 + 10x) = 3(3x + -4) Reorder the terms: 35 + 10x = 3(-4 + 3x) 35 + 10x = (-4 * 3 + 3x * 3) 35 + 10x = (-12 + 9x) Solving 35 + 10x = -12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 35 + 10x + -9x = -12 + 9x + -9x Combine like terms: 10x + -9x = 1x 35 + 1x = -12 + 9x + -9x Combine like terms: 9x + -9x = 0 35 + 1x = -12 + 0 35 + 1x = -12 Add '-35' to each side of the equation. 35 + -35 + 1x = -12 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = -12 + -35 1x = -12 + -35 Combine like terms: -12 + -35 = -47 1x = -47 Divide each side by '1'. x = -47 Simplifying x = -47
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