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Simplifying 4(x + -2) + 3(x + 4) = -2(x + -3) Reorder the terms: 4(-2 + x) + 3(x + 4) = -2(x + -3) (-2 * 4 + x * 4) + 3(x + 4) = -2(x + -3) (-8 + 4x) + 3(x + 4) = -2(x + -3) Reorder the terms: -8 + 4x + 3(4 + x) = -2(x + -3) -8 + 4x + (4 * 3 + x * 3) = -2(x + -3) -8 + 4x + (12 + 3x) = -2(x + -3) Reorder the terms: -8 + 12 + 4x + 3x = -2(x + -3) Combine like terms: -8 + 12 = 4 4 + 4x + 3x = -2(x + -3) Combine like terms: 4x + 3x = 7x 4 + 7x = -2(x + -3) Reorder the terms: 4 + 7x = -2(-3 + x) 4 + 7x = (-3 * -2 + x * -2) 4 + 7x = (6 + -2x) Solving 4 + 7x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + 7x + 2x = 6 + -2x + 2x Combine like terms: 7x + 2x = 9x 4 + 9x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 9x = 6 + 0 4 + 9x = 6 Add '-4' to each side of the equation. 4 + -4 + 9x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 9x = 6 + -4 9x = 6 + -4 Combine like terms: 6 + -4 = 2 9x = 2 Divide each side by '9'. x = 0.2222222222 Simplifying x = 0.2222222222
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