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Simplifying 4(2x + -2) + x = 10 + -2(3 + -1x) Reorder the terms: 4(-2 + 2x) + x = 10 + -2(3 + -1x) (-2 * 4 + 2x * 4) + x = 10 + -2(3 + -1x) (-8 + 8x) + x = 10 + -2(3 + -1x) Combine like terms: 8x + x = 9x -8 + 9x = 10 + -2(3 + -1x) -8 + 9x = 10 + (3 * -2 + -1x * -2) -8 + 9x = 10 + (-6 + 2x) Combine like terms: 10 + -6 = 4 -8 + 9x = 4 + 2x Solving -8 + 9x = 4 + 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. -8 + 9x + -2x = 4 + 2x + -2x Combine like terms: 9x + -2x = 7x -8 + 7x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + 7x = 4 + 0 -8 + 7x = 4 Add '8' to each side of the equation. -8 + 8 + 7x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 7x = 4 + 8 7x = 4 + 8 Combine like terms: 4 + 8 = 12 7x = 12 Divide each side by '7'. x = 1.714285714 Simplifying x = 1.714285714
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