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Simplifying 4(x + 12) = 3x + 6 Reorder the terms: 4(12 + x) = 3x + 6 (12 * 4 + x * 4) = 3x + 6 (48 + 4x) = 3x + 6 Reorder the terms: 48 + 4x = 6 + 3x Solving 48 + 4x = 6 + 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. 48 + 4x + -3x = 6 + 3x + -3x Combine like terms: 4x + -3x = 1x 48 + 1x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 48 + 1x = 6 + 0 48 + 1x = 6 Add '-48' to each side of the equation. 48 + -48 + 1x = 6 + -48 Combine like terms: 48 + -48 = 0 0 + 1x = 6 + -48 1x = 6 + -48 Combine like terms: 6 + -48 = -42 1x = -42 Divide each side by '1'. x = -42 Simplifying x = -42
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