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Simplifying 4(x + 3) + 6 = 5(2x + -6) Reorder the terms: 4(3 + x) + 6 = 5(2x + -6) (3 * 4 + x * 4) + 6 = 5(2x + -6) (12 + 4x) + 6 = 5(2x + -6) Reorder the terms: 12 + 6 + 4x = 5(2x + -6) Combine like terms: 12 + 6 = 18 18 + 4x = 5(2x + -6) Reorder the terms: 18 + 4x = 5(-6 + 2x) 18 + 4x = (-6 * 5 + 2x * 5) 18 + 4x = (-30 + 10x) Solving 18 + 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. 18 + 4x + -10x = -30 + 10x + -10x Combine like terms: 4x + -10x = -6x 18 + -6x = -30 + 10x + -10x Combine like terms: 10x + -10x = 0 18 + -6x = -30 + 0 18 + -6x = -30 Add '-18' to each side of the equation. 18 + -18 + -6x = -30 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = -30 + -18 -6x = -30 + -18 Combine like terms: -30 + -18 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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