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Simplifying 7 + -1(x + 5) + 3x = 40 + -2x Reorder the terms: 7 + -1(5 + x) + 3x = 40 + -2x 7 + (5 * -1 + x * -1) + 3x = 40 + -2x 7 + (-5 + -1x) + 3x = 40 + -2x Combine like terms: 7 + -5 = 2 2 + -1x + 3x = 40 + -2x Combine like terms: -1x + 3x = 2x 2 + 2x = 40 + -2x Solving 2 + 2x = 40 + -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. 2 + 2x + 2x = 40 + -2x + 2x Combine like terms: 2x + 2x = 4x 2 + 4x = 40 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 4x = 40 + 0 2 + 4x = 40 Add '-2' to each side of the equation. 2 + -2 + 4x = 40 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 40 + -2 4x = 40 + -2 Combine like terms: 40 + -2 = 38 4x = 38 Divide each side by '4'. x = 9.5 Simplifying x = 9.5
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