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Simplifying 10 + -1(x + -10) = 3x + 52 Reorder the terms: 10 + -1(-10 + x) = 3x + 52 10 + (-10 * -1 + x * -1) = 3x + 52 10 + (10 + -1x) = 3x + 52 Combine like terms: 10 + 10 = 20 20 + -1x = 3x + 52 Reorder the terms: 20 + -1x = 52 + 3x Solving 20 + -1x = 52 + 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. 20 + -1x + -3x = 52 + 3x + -3x Combine like terms: -1x + -3x = -4x 20 + -4x = 52 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + -4x = 52 + 0 20 + -4x = 52 Add '-20' to each side of the equation. 20 + -20 + -4x = 52 + -20 Combine like terms: 20 + -20 = 0 0 + -4x = 52 + -20 -4x = 52 + -20 Combine like terms: 52 + -20 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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