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Simplifying 5(x + -2) + 10 = 3(x + -7) Reorder the terms: 5(-2 + x) + 10 = 3(x + -7) (-2 * 5 + x * 5) + 10 = 3(x + -7) (-10 + 5x) + 10 = 3(x + -7) Reorder the terms: -10 + 10 + 5x = 3(x + -7) Combine like terms: -10 + 10 = 0 0 + 5x = 3(x + -7) 5x = 3(x + -7) Reorder the terms: 5x = 3(-7 + x) 5x = (-7 * 3 + x * 3) 5x = (-21 + 3x) Solving 5x = -21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5x + -3x = -21 + 3x + -3x Combine like terms: 5x + -3x = 2x 2x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 2x = -21 + 0 2x = -21 Divide each side by '2'. x = -10.5 Simplifying x = -10.5
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