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Simplifying 10 + -7(2x + -3) = x + -14 Reorder the terms: 10 + -7(-3 + 2x) = x + -14 10 + (-3 * -7 + 2x * -7) = x + -14 10 + (21 + -14x) = x + -14 Combine like terms: 10 + 21 = 31 31 + -14x = x + -14 Reorder the terms: 31 + -14x = -14 + x Solving 31 + -14x = -14 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 31 + -14x + -1x = -14 + x + -1x Combine like terms: -14x + -1x = -15x 31 + -15x = -14 + x + -1x Combine like terms: x + -1x = 0 31 + -15x = -14 + 0 31 + -15x = -14 Add '-31' to each side of the equation. 31 + -31 + -15x = -14 + -31 Combine like terms: 31 + -31 = 0 0 + -15x = -14 + -31 -15x = -14 + -31 Combine like terms: -14 + -31 = -45 -15x = -45 Divide each side by '-15'. x = 3 Simplifying x = 3
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