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