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Simplifying 3(6x + 1) = -10 + 5(2x + 1) Reorder the terms: 3(1 + 6x) = -10 + 5(2x + 1) (1 * 3 + 6x * 3) = -10 + 5(2x + 1) (3 + 18x) = -10 + 5(2x + 1) Reorder the terms: 3 + 18x = -10 + 5(1 + 2x) 3 + 18x = -10 + (1 * 5 + 2x * 5) 3 + 18x = -10 + (5 + 10x) Combine like terms: -10 + 5 = -5 3 + 18x = -5 + 10x Solving 3 + 18x = -5 + 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. 3 + 18x + -10x = -5 + 10x + -10x Combine like terms: 18x + -10x = 8x 3 + 8x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 3 + 8x = -5 + 0 3 + 8x = -5 Add '-3' to each side of the equation. 3 + -3 + 8x = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = -5 + -3 8x = -5 + -3 Combine like terms: -5 + -3 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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