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Simplifying 3(x + -2) + 1 = 2(5x + -5) + 2 Reorder the terms: 3(-2 + x) + 1 = 2(5x + -5) + 2 (-2 * 3 + x * 3) + 1 = 2(5x + -5) + 2 (-6 + 3x) + 1 = 2(5x + -5) + 2 Reorder the terms: -6 + 1 + 3x = 2(5x + -5) + 2 Combine like terms: -6 + 1 = -5 -5 + 3x = 2(5x + -5) + 2 Reorder the terms: -5 + 3x = 2(-5 + 5x) + 2 -5 + 3x = (-5 * 2 + 5x * 2) + 2 -5 + 3x = (-10 + 10x) + 2 Reorder the terms: -5 + 3x = -10 + 2 + 10x Combine like terms: -10 + 2 = -8 -5 + 3x = -8 + 10x Solving -5 + 3x = -8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -5 + 3x + -10x = -8 + 10x + -10x Combine like terms: 3x + -10x = -7x -5 + -7x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 + -7x = -8 + 0 -5 + -7x = -8 Add '5' to each side of the equation. -5 + 5 + -7x = -8 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = -8 + 5 -7x = -8 + 5 Combine like terms: -8 + 5 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286
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