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Simplifying 4(x + 2) + 1(x + -5) = 2x + 7 Reorder the terms: 4(2 + x) + 1(x + -5) = 2x + 7 (2 * 4 + x * 4) + 1(x + -5) = 2x + 7 (8 + 4x) + 1(x + -5) = 2x + 7 Reorder the terms: 8 + 4x + 1(-5 + x) = 2x + 7 8 + 4x + (-5 * 1 + x * 1) = 2x + 7 8 + 4x + (-5 + 1x) = 2x + 7 Reorder the terms: 8 + -5 + 4x + 1x = 2x + 7 Combine like terms: 8 + -5 = 3 3 + 4x + 1x = 2x + 7 Combine like terms: 4x + 1x = 5x 3 + 5x = 2x + 7 Reorder the terms: 3 + 5x = 7 + 2x Solving 3 + 5x = 7 + 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. 3 + 5x + -2x = 7 + 2x + -2x Combine like terms: 5x + -2x = 3x 3 + 3x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 3x = 7 + 0 3 + 3x = 7 Add '-3' to each side of the equation. 3 + -3 + 3x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 7 + -3 3x = 7 + -3 Combine like terms: 7 + -3 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333
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