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Simplifying 2 + -3x = 8(5x + -1x) + -1(x + -10) Combine like terms: 5x + -1x = 4x 2 + -3x = 8(4x) + -1(x + -10) Remove parenthesis around (4x) 2 + -3x = 8 * 4x + -1(x + -10) Multiply 8 * 4 2 + -3x = 32x + -1(x + -10) Reorder the terms: 2 + -3x = 32x + -1(-10 + x) 2 + -3x = 32x + (-10 * -1 + x * -1) 2 + -3x = 32x + (10 + -1x) Reorder the terms: 2 + -3x = 10 + 32x + -1x Combine like terms: 32x + -1x = 31x 2 + -3x = 10 + 31x Solving 2 + -3x = 10 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. 2 + -3x + -31x = 10 + 31x + -31x Combine like terms: -3x + -31x = -34x 2 + -34x = 10 + 31x + -31x Combine like terms: 31x + -31x = 0 2 + -34x = 10 + 0 2 + -34x = 10 Add '-2' to each side of the equation. 2 + -2 + -34x = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -34x = 10 + -2 -34x = 10 + -2 Combine like terms: 10 + -2 = 8 -34x = 8 Divide each side by '-34'. x = -0.2352941176 Simplifying x = -0.2352941176
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