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Simplifying 5(x + 2) = x + 6(x + -3) Reorder the terms: 5(2 + x) = x + 6(x + -3) (2 * 5 + x * 5) = x + 6(x + -3) (10 + 5x) = x + 6(x + -3) Reorder the terms: 10 + 5x = x + 6(-3 + x) 10 + 5x = x + (-3 * 6 + x * 6) 10 + 5x = x + (-18 + 6x) Reorder the terms: 10 + 5x = -18 + x + 6x Combine like terms: x + 6x = 7x 10 + 5x = -18 + 7x Solving 10 + 5x = -18 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + 5x + -7x = -18 + 7x + -7x Combine like terms: 5x + -7x = -2x 10 + -2x = -18 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -2x = -18 + 0 10 + -2x = -18 Add '-10' to each side of the equation. 10 + -10 + -2x = -18 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -18 + -10 -2x = -18 + -10 Combine like terms: -18 + -10 = -28 -2x = -28 Divide each side by '-2'. x = 14 Simplifying x = 14
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