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Simplifying 5(6x + -7) = 4(3 + -2x) Reorder the terms: 5(-7 + 6x) = 4(3 + -2x) (-7 * 5 + 6x * 5) = 4(3 + -2x) (-35 + 30x) = 4(3 + -2x) -35 + 30x = (3 * 4 + -2x * 4) -35 + 30x = (12 + -8x) Solving -35 + 30x = 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 + 30x + 8x = 12 + -8x + 8x Combine like terms: 30x + 8x = 38x -35 + 38x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 -35 + 38x = 12 + 0 -35 + 38x = 12 Add '35' to each side of the equation. -35 + 35 + 38x = 12 + 35 Combine like terms: -35 + 35 = 0 0 + 38x = 12 + 35 38x = 12 + 35 Combine like terms: 12 + 35 = 47 38x = 47 Divide each side by '38'. x = 1.236842105 Simplifying x = 1.236842105
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