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Simplifying 2(x + 4) + 3(x + -5) = x + 6 Reorder the terms: 2(4 + x) + 3(x + -5) = x + 6 (4 * 2 + x * 2) + 3(x + -5) = x + 6 (8 + 2x) + 3(x + -5) = x + 6 Reorder the terms: 8 + 2x + 3(-5 + x) = x + 6 8 + 2x + (-5 * 3 + x * 3) = x + 6 8 + 2x + (-15 + 3x) = x + 6 Reorder the terms: 8 + -15 + 2x + 3x = x + 6 Combine like terms: 8 + -15 = -7 -7 + 2x + 3x = x + 6 Combine like terms: 2x + 3x = 5x -7 + 5x = x + 6 Reorder the terms: -7 + 5x = 6 + x Solving -7 + 5x = 6 + x 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. -7 + 5x + -1x = 6 + x + -1x Combine like terms: 5x + -1x = 4x -7 + 4x = 6 + x + -1x Combine like terms: x + -1x = 0 -7 + 4x = 6 + 0 -7 + 4x = 6 Add '7' to each side of the equation. -7 + 7 + 4x = 6 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 6 + 7 4x = 6 + 7 Combine like terms: 6 + 7 = 13 4x = 13 Divide each side by '4'. x = 3.25 Simplifying x = 3.25
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