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Simplifying 4 + -5(x + -2) = -1 + 3(x + -5 + 2) Reorder the terms: 4 + -5(-2 + x) = -1 + 3(x + -5 + 2) 4 + (-2 * -5 + x * -5) = -1 + 3(x + -5 + 2) 4 + (10 + -5x) = -1 + 3(x + -5 + 2) Combine like terms: 4 + 10 = 14 14 + -5x = -1 + 3(x + -5 + 2) Reorder the terms: 14 + -5x = -1 + 3(-5 + 2 + x) Combine like terms: -5 + 2 = -3 14 + -5x = -1 + 3(-3 + x) 14 + -5x = -1 + (-3 * 3 + x * 3) 14 + -5x = -1 + (-9 + 3x) Combine like terms: -1 + -9 = -10 14 + -5x = -10 + 3x Solving 14 + -5x = -10 + 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. 14 + -5x + -3x = -10 + 3x + -3x Combine like terms: -5x + -3x = -8x 14 + -8x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + -8x = -10 + 0 14 + -8x = -10 Add '-14' to each side of the equation. 14 + -14 + -8x = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -8x = -10 + -14 -8x = -10 + -14 Combine like terms: -10 + -14 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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