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Simplifying 4(x + 12) = 6x Reorder the terms: 4(12 + x) = 6x (12 * 4 + x * 4) = 6x (48 + 4x) = 6x Solving 48 + 4x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 48 + 4x + -6x = 6x + -6x Combine like terms: 4x + -6x = -2x 48 + -2x = 6x + -6x Combine like terms: 6x + -6x = 0 48 + -2x = 0 Add '-48' to each side of the equation. 48 + -48 + -2x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -2x = 0 + -48 -2x = 0 + -48 Combine like terms: 0 + -48 = -48 -2x = -48 Divide each side by '-2'. x = 24 Simplifying x = 24
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