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Simplifying 7 + -3(2 + -1x) = 10(x + -2) 7 + (2 * -3 + -1x * -3) = 10(x + -2) 7 + (-6 + 3x) = 10(x + -2) Combine like terms: 7 + -6 = 1 1 + 3x = 10(x + -2) Reorder the terms: 1 + 3x = 10(-2 + x) 1 + 3x = (-2 * 10 + x * 10) 1 + 3x = (-20 + 10x) Solving 1 + 3x = -20 + 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. 1 + 3x + -10x = -20 + 10x + -10x Combine like terms: 3x + -10x = -7x 1 + -7x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 1 + -7x = -20 + 0 1 + -7x = -20 Add '-1' to each side of the equation. 1 + -1 + -7x = -20 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = -20 + -1 -7x = -20 + -1 Combine like terms: -20 + -1 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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