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Simplifying 10x + -1(4x + -3) = 4 + (x + -7) + -2x Reorder the terms: 10x + -1(-3 + 4x) = 4 + (x + -7) + -2x 10x + (-3 * -1 + 4x * -1) = 4 + (x + -7) + -2x 10x + (3 + -4x) = 4 + (x + -7) + -2x Reorder the terms: 3 + 10x + -4x = 4 + (x + -7) + -2x Combine like terms: 10x + -4x = 6x 3 + 6x = 4 + (x + -7) + -2x Reorder the terms: 3 + 6x = 4 + (-7 + x) + -2x Remove parenthesis around (-7 + x) 3 + 6x = 4 + -7 + x + -2x Combine like terms: 4 + -7 = -3 3 + 6x = -3 + x + -2x Combine like terms: x + -2x = -1x 3 + 6x = -3 + -1x Solving 3 + 6x = -3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3 + 6x + x = -3 + -1x + x Combine like terms: 6x + x = 7x 3 + 7x = -3 + -1x + x Combine like terms: -1x + x = 0 3 + 7x = -3 + 0 3 + 7x = -3 Add '-3' to each side of the equation. 3 + -3 + 7x = -3 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = -3 + -3 7x = -3 + -3 Combine like terms: -3 + -3 = -6 7x = -6 Divide each side by '7'. x = -0.8571428571 Simplifying x = -0.8571428571
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