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Simplifying -2x + 7 = -3(x + -10) Reorder the terms: 7 + -2x = -3(x + -10) Reorder the terms: 7 + -2x = -3(-10 + x) 7 + -2x = (-10 * -3 + x * -3) 7 + -2x = (30 + -3x) Solving 7 + -2x = 30 + -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. 7 + -2x + 3x = 30 + -3x + 3x Combine like terms: -2x + 3x = 1x 7 + 1x = 30 + -3x + 3x Combine like terms: -3x + 3x = 0 7 + 1x = 30 + 0 7 + 1x = 30 Add '-7' to each side of the equation. 7 + -7 + 1x = 30 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 30 + -7 1x = 30 + -7 Combine like terms: 30 + -7 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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