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Simplifying 8 + 2x + -4 = 6 + 3(x + -1) Reorder the terms: 8 + -4 + 2x = 6 + 3(x + -1) Combine like terms: 8 + -4 = 4 4 + 2x = 6 + 3(x + -1) Reorder the terms: 4 + 2x = 6 + 3(-1 + x) 4 + 2x = 6 + (-1 * 3 + x * 3) 4 + 2x = 6 + (-3 + 3x) Combine like terms: 6 + -3 = 3 4 + 2x = 3 + 3x Solving 4 + 2x = 3 + 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. 4 + 2x + -3x = 3 + 3x + -3x Combine like terms: 2x + -3x = -1x 4 + -1x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -1x = 3 + 0 4 + -1x = 3 Add '-4' to each side of the equation. 4 + -4 + -1x = 3 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 3 + -4 -1x = 3 + -4 Combine like terms: 3 + -4 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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