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Simplifying x + -2(x + 5) = 14 + 3(x + -2) Reorder the terms: x + -2(5 + x) = 14 + 3(x + -2) x + (5 * -2 + x * -2) = 14 + 3(x + -2) x + (-10 + -2x) = 14 + 3(x + -2) Reorder the terms: -10 + x + -2x = 14 + 3(x + -2) Combine like terms: x + -2x = -1x -10 + -1x = 14 + 3(x + -2) Reorder the terms: -10 + -1x = 14 + 3(-2 + x) -10 + -1x = 14 + (-2 * 3 + x * 3) -10 + -1x = 14 + (-6 + 3x) Combine like terms: 14 + -6 = 8 -10 + -1x = 8 + 3x Solving -10 + -1x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + -1x + -3x = 8 + 3x + -3x Combine like terms: -1x + -3x = -4x -10 + -4x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + -4x = 8 + 0 -10 + -4x = 8 Add '10' to each side of the equation. -10 + 10 + -4x = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = 8 + 10 -4x = 8 + 10 Combine like terms: 8 + 10 = 18 -4x = 18 Divide each side by '-4'. x = -4.5 Simplifying x = -4.5
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