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Simplifying -7(2x + -3) + 3 = 10 + -7(-2x + -1) Reorder the terms: -7(-3 + 2x) + 3 = 10 + -7(-2x + -1) (-3 * -7 + 2x * -7) + 3 = 10 + -7(-2x + -1) (21 + -14x) + 3 = 10 + -7(-2x + -1) Reorder the terms: 21 + 3 + -14x = 10 + -7(-2x + -1) Combine like terms: 21 + 3 = 24 24 + -14x = 10 + -7(-2x + -1) Reorder the terms: 24 + -14x = 10 + -7(-1 + -2x) 24 + -14x = 10 + (-1 * -7 + -2x * -7) 24 + -14x = 10 + (7 + 14x) Combine like terms: 10 + 7 = 17 24 + -14x = 17 + 14x Solving 24 + -14x = 17 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 24 + -14x + -14x = 17 + 14x + -14x Combine like terms: -14x + -14x = -28x 24 + -28x = 17 + 14x + -14x Combine like terms: 14x + -14x = 0 24 + -28x = 17 + 0 24 + -28x = 17 Add '-24' to each side of the equation. 24 + -24 + -28x = 17 + -24 Combine like terms: 24 + -24 = 0 0 + -28x = 17 + -24 -28x = 17 + -24 Combine like terms: 17 + -24 = -7 -28x = -7 Divide each side by '-28'. x = 0.25 Simplifying x = 0.25
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