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Simplifying 3(x + -10) + 1 = -2(x + -8) Reorder the terms: 3(-10 + x) + 1 = -2(x + -8) (-10 * 3 + x * 3) + 1 = -2(x + -8) (-30 + 3x) + 1 = -2(x + -8) Reorder the terms: -30 + 1 + 3x = -2(x + -8) Combine like terms: -30 + 1 = -29 -29 + 3x = -2(x + -8) Reorder the terms: -29 + 3x = -2(-8 + x) -29 + 3x = (-8 * -2 + x * -2) -29 + 3x = (16 + -2x) Solving -29 + 3x = 16 + -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. -29 + 3x + 2x = 16 + -2x + 2x Combine like terms: 3x + 2x = 5x -29 + 5x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 -29 + 5x = 16 + 0 -29 + 5x = 16 Add '29' to each side of the equation. -29 + 29 + 5x = 16 + 29 Combine like terms: -29 + 29 = 0 0 + 5x = 16 + 29 5x = 16 + 29 Combine like terms: 16 + 29 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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