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Simplifying 8 + -3(x + -2) = 4x + -1(5 + 3x) Reorder the terms: 8 + -3(-2 + x) = 4x + -1(5 + 3x) 8 + (-2 * -3 + x * -3) = 4x + -1(5 + 3x) 8 + (6 + -3x) = 4x + -1(5 + 3x) Combine like terms: 8 + 6 = 14 14 + -3x = 4x + -1(5 + 3x) 14 + -3x = 4x + (5 * -1 + 3x * -1) 14 + -3x = 4x + (-5 + -3x) Reorder the terms: 14 + -3x = -5 + 4x + -3x Combine like terms: 4x + -3x = 1x 14 + -3x = -5 + 1x Solving 14 + -3x = -5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 14 + -3x + -1x = -5 + 1x + -1x Combine like terms: -3x + -1x = -4x 14 + -4x = -5 + 1x + -1x Combine like terms: 1x + -1x = 0 14 + -4x = -5 + 0 14 + -4x = -5 Add '-14' to each side of the equation. 14 + -14 + -4x = -5 + -14 Combine like terms: 14 + -14 = 0 0 + -4x = -5 + -14 -4x = -5 + -14 Combine like terms: -5 + -14 = -19 -4x = -19 Divide each side by '-4'. x = 4.75 Simplifying x = 4.75
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