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Simplifying -7(2x + -3) = 10x + 7 Reorder the terms: -7(-3 + 2x) = 10x + 7 (-3 * -7 + 2x * -7) = 10x + 7 (21 + -14x) = 10x + 7 Reorder the terms: 21 + -14x = 7 + 10x Solving 21 + -14x = 7 + 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. 21 + -14x + -10x = 7 + 10x + -10x Combine like terms: -14x + -10x = -24x 21 + -24x = 7 + 10x + -10x Combine like terms: 10x + -10x = 0 21 + -24x = 7 + 0 21 + -24x = 7 Add '-21' to each side of the equation. 21 + -21 + -24x = 7 + -21 Combine like terms: 21 + -21 = 0 0 + -24x = 7 + -21 -24x = 7 + -21 Combine like terms: 7 + -21 = -14 -24x = -14 Divide each side by '-24'. x = 0.5833333333 Simplifying x = 0.5833333333
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