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