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Simplifying 4(2 + -1x) + 2x = -3(x + -3) (2 * 4 + -1x * 4) + 2x = -3(x + -3) (8 + -4x) + 2x = -3(x + -3) Combine like terms: -4x + 2x = -2x 8 + -2x = -3(x + -3) Reorder the terms: 8 + -2x = -3(-3 + x) 8 + -2x = (-3 * -3 + x * -3) 8 + -2x = (9 + -3x) Solving 8 + -2x = 9 + -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. 8 + -2x + 3x = 9 + -3x + 3x Combine like terms: -2x + 3x = 1x 8 + 1x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 1x = 9 + 0 8 + 1x = 9 Add '-8' to each side of the equation. 8 + -8 + 1x = 9 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 9 + -8 1x = 9 + -8 Combine like terms: 9 + -8 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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