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Simplifying 4x + 5(2 + -1x) = 3x + -2 4x + (2 * 5 + -1x * 5) = 3x + -2 4x + (10 + -5x) = 3x + -2 Reorder the terms: 10 + 4x + -5x = 3x + -2 Combine like terms: 4x + -5x = -1x 10 + -1x = 3x + -2 Reorder the terms: 10 + -1x = -2 + 3x Solving 10 + -1x = -2 + 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 = -2 + 3x + -3x Combine like terms: -1x + -3x = -4x 10 + -4x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -4x = -2 + 0 10 + -4x = -2 Add '-10' to each side of the equation. 10 + -10 + -4x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -2 + -10 -4x = -2 + -10 Combine like terms: -2 + -10 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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