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Simplifying (2x + -3) = 1 + -7(5x + 2) * 2 Reorder the terms: (-3 + 2x) = 1 + -7(5x + 2) * 2 Remove parenthesis around (-3 + 2x) -3 + 2x = 1 + -7(5x + 2) * 2 Reorder the terms: -3 + 2x = 1 + -7(2 + 5x) * 2 Reorder the terms for easier multiplication: -3 + 2x = 1 + -7 * 2(2 + 5x) Multiply -7 * 2 -3 + 2x = 1 + -14(2 + 5x) -3 + 2x = 1 + (2 * -14 + 5x * -14) -3 + 2x = 1 + (-28 + -70x) Combine like terms: 1 + -28 = -27 -3 + 2x = -27 + -70x Solving -3 + 2x = -27 + -70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '70x' to each side of the equation. -3 + 2x + 70x = -27 + -70x + 70x Combine like terms: 2x + 70x = 72x -3 + 72x = -27 + -70x + 70x Combine like terms: -70x + 70x = 0 -3 + 72x = -27 + 0 -3 + 72x = -27 Add '3' to each side of the equation. -3 + 3 + 72x = -27 + 3 Combine like terms: -3 + 3 = 0 0 + 72x = -27 + 3 72x = -27 + 3 Combine like terms: -27 + 3 = -24 72x = -24 Divide each side by '72'. x = -0.3333333333 Simplifying x = -0.3333333333
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