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Simplifying 4(2x + -2) = 3(5x + -3) Reorder the terms: 4(-2 + 2x) = 3(5x + -3) (-2 * 4 + 2x * 4) = 3(5x + -3) (-8 + 8x) = 3(5x + -3) Reorder the terms: -8 + 8x = 3(-3 + 5x) -8 + 8x = (-3 * 3 + 5x * 3) -8 + 8x = (-9 + 15x) Solving -8 + 8x = -9 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -8 + 8x + -15x = -9 + 15x + -15x Combine like terms: 8x + -15x = -7x -8 + -7x = -9 + 15x + -15x Combine like terms: 15x + -15x = 0 -8 + -7x = -9 + 0 -8 + -7x = -9 Add '8' to each side of the equation. -8 + 8 + -7x = -9 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = -9 + 8 -7x = -9 + 8 Combine like terms: -9 + 8 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429
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