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Simplifying 4(2x + -3) = 5(3x + -2) Reorder the terms: 4(-3 + 2x) = 5(3x + -2) (-3 * 4 + 2x * 4) = 5(3x + -2) (-12 + 8x) = 5(3x + -2) Reorder the terms: -12 + 8x = 5(-2 + 3x) -12 + 8x = (-2 * 5 + 3x * 5) -12 + 8x = (-10 + 15x) Solving -12 + 8x = -10 + 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. -12 + 8x + -15x = -10 + 15x + -15x Combine like terms: 8x + -15x = -7x -12 + -7x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 -12 + -7x = -10 + 0 -12 + -7x = -10 Add '12' to each side of the equation. -12 + 12 + -7x = -10 + 12 Combine like terms: -12 + 12 = 0 0 + -7x = -10 + 12 -7x = -10 + 12 Combine like terms: -10 + 12 = 2 -7x = 2 Divide each side by '-7'. x = -0.2857142857 Simplifying x = -0.2857142857
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