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Simplifying 5 + 7x = 8 + 3(2x + -6) Reorder the terms: 5 + 7x = 8 + 3(-6 + 2x) 5 + 7x = 8 + (-6 * 3 + 2x * 3) 5 + 7x = 8 + (-18 + 6x) Combine like terms: 8 + -18 = -10 5 + 7x = -10 + 6x Solving 5 + 7x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 5 + 7x + -6x = -10 + 6x + -6x Combine like terms: 7x + -6x = 1x 5 + 1x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + 1x = -10 + 0 5 + 1x = -10 Add '-5' to each side of the equation. 5 + -5 + 1x = -10 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = -10 + -5 1x = -10 + -5 Combine like terms: -10 + -5 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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