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Simplifying 3(x + 1) = 6x + -2x + 4 Reorder the terms: 3(1 + x) = 6x + -2x + 4 (1 * 3 + x * 3) = 6x + -2x + 4 (3 + 3x) = 6x + -2x + 4 Reorder the terms: 3 + 3x = 4 + 6x + -2x Combine like terms: 6x + -2x = 4x 3 + 3x = 4 + 4x Solving 3 + 3x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 3x + -4x = 4 + 4x + -4x Combine like terms: 3x + -4x = -1x 3 + -1x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -1x = 4 + 0 3 + -1x = 4 Add '-3' to each side of the equation. 3 + -3 + -1x = 4 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 4 + -3 -1x = 4 + -3 Combine like terms: 4 + -3 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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