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Simplifying 10x + -1(x + -10) = 3x + 52 Reorder the terms: 10x + -1(-10 + x) = 3x + 52 10x + (-10 * -1 + x * -1) = 3x + 52 10x + (10 + -1x) = 3x + 52 Reorder the terms: 10 + 10x + -1x = 3x + 52 Combine like terms: 10x + -1x = 9x 10 + 9x = 3x + 52 Reorder the terms: 10 + 9x = 52 + 3x Solving 10 + 9x = 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. 10 + 9x + -3x = 52 + 3x + -3x Combine like terms: 9x + -3x = 6x 10 + 6x = 52 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 6x = 52 + 0 10 + 6x = 52 Add '-10' to each side of the equation. 10 + -10 + 6x = 52 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = 52 + -10 6x = 52 + -10 Combine like terms: 52 + -10 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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