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Simplifying 4x + 2 = 3(x + -6) + 8 Reorder the terms: 2 + 4x = 3(x + -6) + 8 Reorder the terms: 2 + 4x = 3(-6 + x) + 8 2 + 4x = (-6 * 3 + x * 3) + 8 2 + 4x = (-18 + 3x) + 8 Reorder the terms: 2 + 4x = -18 + 8 + 3x Combine like terms: -18 + 8 = -10 2 + 4x = -10 + 3x Solving 2 + 4x = -10 + 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. 2 + 4x + -3x = -10 + 3x + -3x Combine like terms: 4x + -3x = 1x 2 + 1x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 1x = -10 + 0 2 + 1x = -10 Add '-2' to each side of the equation. 2 + -2 + 1x = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -10 + -2 1x = -10 + -2 Combine like terms: -10 + -2 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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