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Simplifying 8x + 12 = 12(2x + 4) Reorder the terms: 12 + 8x = 12(2x + 4) Reorder the terms: 12 + 8x = 12(4 + 2x) 12 + 8x = (4 * 12 + 2x * 12) 12 + 8x = (48 + 24x) Solving 12 + 8x = 48 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 12 + 8x + -24x = 48 + 24x + -24x Combine like terms: 8x + -24x = -16x 12 + -16x = 48 + 24x + -24x Combine like terms: 24x + -24x = 0 12 + -16x = 48 + 0 12 + -16x = 48 Add '-12' to each side of the equation. 12 + -12 + -16x = 48 + -12 Combine like terms: 12 + -12 = 0 0 + -16x = 48 + -12 -16x = 48 + -12 Combine like terms: 48 + -12 = 36 -16x = 36 Divide each side by '-16'. x = -2.25 Simplifying x = -2.25
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