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Simplifying 2(4x + -10) + x = 7 + -1(-2x + -3) Reorder the terms: 2(-10 + 4x) + x = 7 + -1(-2x + -3) (-10 * 2 + 4x * 2) + x = 7 + -1(-2x + -3) (-20 + 8x) + x = 7 + -1(-2x + -3) Combine like terms: 8x + x = 9x -20 + 9x = 7 + -1(-2x + -3) Reorder the terms: -20 + 9x = 7 + -1(-3 + -2x) -20 + 9x = 7 + (-3 * -1 + -2x * -1) -20 + 9x = 7 + (3 + 2x) Combine like terms: 7 + 3 = 10 -20 + 9x = 10 + 2x Solving -20 + 9x = 10 + 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. -20 + 9x + -2x = 10 + 2x + -2x Combine like terms: 9x + -2x = 7x -20 + 7x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 7x = 10 + 0 -20 + 7x = 10 Add '20' to each side of the equation. -20 + 20 + 7x = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 7x = 10 + 20 7x = 10 + 20 Combine like terms: 10 + 20 = 30 7x = 30 Divide each side by '7'. x = 4.285714286 Simplifying x = 4.285714286
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