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Simplifying 3(x + 13) = 10(x + -1) Reorder the terms: 3(13 + x) = 10(x + -1) (13 * 3 + x * 3) = 10(x + -1) (39 + 3x) = 10(x + -1) Reorder the terms: 39 + 3x = 10(-1 + x) 39 + 3x = (-1 * 10 + x * 10) 39 + 3x = (-10 + 10x) Solving 39 + 3x = -10 + 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. 39 + 3x + -10x = -10 + 10x + -10x Combine like terms: 3x + -10x = -7x 39 + -7x = -10 + 10x + -10x Combine like terms: 10x + -10x = 0 39 + -7x = -10 + 0 39 + -7x = -10 Add '-39' to each side of the equation. 39 + -39 + -7x = -10 + -39 Combine like terms: 39 + -39 = 0 0 + -7x = -10 + -39 -7x = -10 + -39 Combine like terms: -10 + -39 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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