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Simplifying 2(x + -4) + 3(x + -2) = 1 + -2(x + 6) Reorder the terms: 2(-4 + x) + 3(x + -2) = 1 + -2(x + 6) (-4 * 2 + x * 2) + 3(x + -2) = 1 + -2(x + 6) (-8 + 2x) + 3(x + -2) = 1 + -2(x + 6) Reorder the terms: -8 + 2x + 3(-2 + x) = 1 + -2(x + 6) -8 + 2x + (-2 * 3 + x * 3) = 1 + -2(x + 6) -8 + 2x + (-6 + 3x) = 1 + -2(x + 6) Reorder the terms: -8 + -6 + 2x + 3x = 1 + -2(x + 6) Combine like terms: -8 + -6 = -14 -14 + 2x + 3x = 1 + -2(x + 6) Combine like terms: 2x + 3x = 5x -14 + 5x = 1 + -2(x + 6) Reorder the terms: -14 + 5x = 1 + -2(6 + x) -14 + 5x = 1 + (6 * -2 + x * -2) -14 + 5x = 1 + (-12 + -2x) Combine like terms: 1 + -12 = -11 -14 + 5x = -11 + -2x Solving -14 + 5x = -11 + -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. -14 + 5x + 2x = -11 + -2x + 2x Combine like terms: 5x + 2x = 7x -14 + 7x = -11 + -2x + 2x Combine like terms: -2x + 2x = 0 -14 + 7x = -11 + 0 -14 + 7x = -11 Add '14' to each side of the equation. -14 + 14 + 7x = -11 + 14 Combine like terms: -14 + 14 = 0 0 + 7x = -11 + 14 7x = -11 + 14 Combine like terms: -11 + 14 = 3 7x = 3 Divide each side by '7'. x = 0.4285714286 Simplifying x = 0.4285714286
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