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Simplifying 4x + 12 = 8(2x + -3) Reorder the terms: 12 + 4x = 8(2x + -3) Reorder the terms: 12 + 4x = 8(-3 + 2x) 12 + 4x = (-3 * 8 + 2x * 8) 12 + 4x = (-24 + 16x) Solving 12 + 4x = -24 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 12 + 4x + -16x = -24 + 16x + -16x Combine like terms: 4x + -16x = -12x 12 + -12x = -24 + 16x + -16x Combine like terms: 16x + -16x = 0 12 + -12x = -24 + 0 12 + -12x = -24 Add '-12' to each side of the equation. 12 + -12 + -12x = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -12x = -24 + -12 -12x = -24 + -12 Combine like terms: -24 + -12 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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