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Simplifying 6(2x + -1) * 2 + 2 = -7(2x + -1) Reorder the terms: 6(-1 + 2x) * 2 + 2 = -7(2x + -1) Reorder the terms for easier multiplication: 6 * 2(-1 + 2x) + 2 = -7(2x + -1) Multiply 6 * 2 12(-1 + 2x) + 2 = -7(2x + -1) (-1 * 12 + 2x * 12) + 2 = -7(2x + -1) (-12 + 24x) + 2 = -7(2x + -1) Reorder the terms: -12 + 2 + 24x = -7(2x + -1) Combine like terms: -12 + 2 = -10 -10 + 24x = -7(2x + -1) Reorder the terms: -10 + 24x = -7(-1 + 2x) -10 + 24x = (-1 * -7 + 2x * -7) -10 + 24x = (7 + -14x) Solving -10 + 24x = 7 + -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. -10 + 24x + 14x = 7 + -14x + 14x Combine like terms: 24x + 14x = 38x -10 + 38x = 7 + -14x + 14x Combine like terms: -14x + 14x = 0 -10 + 38x = 7 + 0 -10 + 38x = 7 Add '10' to each side of the equation. -10 + 10 + 38x = 7 + 10 Combine like terms: -10 + 10 = 0 0 + 38x = 7 + 10 38x = 7 + 10 Combine like terms: 7 + 10 = 17 38x = 17 Divide each side by '38'. x = 0.4473684211 Simplifying x = 0.4473684211
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