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Simplifying 4(x + -2) + -5(2x + -3) = 3(x + 4) Reorder the terms: 4(-2 + x) + -5(2x + -3) = 3(x + 4) (-2 * 4 + x * 4) + -5(2x + -3) = 3(x + 4) (-8 + 4x) + -5(2x + -3) = 3(x + 4) Reorder the terms: -8 + 4x + -5(-3 + 2x) = 3(x + 4) -8 + 4x + (-3 * -5 + 2x * -5) = 3(x + 4) -8 + 4x + (15 + -10x) = 3(x + 4) Reorder the terms: -8 + 15 + 4x + -10x = 3(x + 4) Combine like terms: -8 + 15 = 7 7 + 4x + -10x = 3(x + 4) Combine like terms: 4x + -10x = -6x 7 + -6x = 3(x + 4) Reorder the terms: 7 + -6x = 3(4 + x) 7 + -6x = (4 * 3 + x * 3) 7 + -6x = (12 + 3x) Solving 7 + -6x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + -6x + -3x = 12 + 3x + -3x Combine like terms: -6x + -3x = -9x 7 + -9x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -9x = 12 + 0 7 + -9x = 12 Add '-7' to each side of the equation. 7 + -7 + -9x = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = 12 + -7 -9x = 12 + -7 Combine like terms: 12 + -7 = 5 -9x = 5 Divide each side by '-9'. x = -0.5555555556 Simplifying x = -0.5555555556
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