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Simplifying (10)(3x + -7) = 2x + -8 Reorder the terms: 10(-7 + 3x) = 2x + -8 (-7 * 10 + 3x * 10) = 2x + -8 (-70 + 30x) = 2x + -8 Reorder the terms: -70 + 30x = -8 + 2x Solving -70 + 30x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -70 + 30x + -2x = -8 + 2x + -2x Combine like terms: 30x + -2x = 28x -70 + 28x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -70 + 28x = -8 + 0 -70 + 28x = -8 Add '70' to each side of the equation. -70 + 70 + 28x = -8 + 70 Combine like terms: -70 + 70 = 0 0 + 28x = -8 + 70 28x = -8 + 70 Combine like terms: -8 + 70 = 62 28x = 62 Divide each side by '28'. x = 2.214285714 Simplifying x = 2.214285714
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