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Simplifying 6(x + 2) = 6(5 + -3x) Reorder the terms: 6(2 + x) = 6(5 + -3x) (2 * 6 + x * 6) = 6(5 + -3x) (12 + 6x) = 6(5 + -3x) 12 + 6x = (5 * 6 + -3x * 6) 12 + 6x = (30 + -18x) Solving 12 + 6x = 30 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 12 + 6x + 18x = 30 + -18x + 18x Combine like terms: 6x + 18x = 24x 12 + 24x = 30 + -18x + 18x Combine like terms: -18x + 18x = 0 12 + 24x = 30 + 0 12 + 24x = 30 Add '-12' to each side of the equation. 12 + -12 + 24x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 24x = 30 + -12 24x = 30 + -12 Combine like terms: 30 + -12 = 18 24x = 18 Divide each side by '24'. x = 0.75 Simplifying x = 0.75
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