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Simplifying 4x + 12 = 5(2x + 6) Reorder the terms: 12 + 4x = 5(2x + 6) Reorder the terms: 12 + 4x = 5(6 + 2x) 12 + 4x = (6 * 5 + 2x * 5) 12 + 4x = (30 + 10x) Solving 12 + 4x = 30 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + 4x + -10x = 30 + 10x + -10x Combine like terms: 4x + -10x = -6x 12 + -6x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -6x = 30 + 0 12 + -6x = 30 Add '-12' to each side of the equation. 12 + -12 + -6x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = 30 + -12 -6x = 30 + -12 Combine like terms: 30 + -12 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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