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Simplifying 3(x + 2) + -5(x + -7) = x + 3 Reorder the terms: 3(2 + x) + -5(x + -7) = x + 3 (2 * 3 + x * 3) + -5(x + -7) = x + 3 (6 + 3x) + -5(x + -7) = x + 3 Reorder the terms: 6 + 3x + -5(-7 + x) = x + 3 6 + 3x + (-7 * -5 + x * -5) = x + 3 6 + 3x + (35 + -5x) = x + 3 Reorder the terms: 6 + 35 + 3x + -5x = x + 3 Combine like terms: 6 + 35 = 41 41 + 3x + -5x = x + 3 Combine like terms: 3x + -5x = -2x 41 + -2x = x + 3 Reorder the terms: 41 + -2x = 3 + x Solving 41 + -2x = 3 + 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. 41 + -2x + -1x = 3 + x + -1x Combine like terms: -2x + -1x = -3x 41 + -3x = 3 + x + -1x Combine like terms: x + -1x = 0 41 + -3x = 3 + 0 41 + -3x = 3 Add '-41' to each side of the equation. 41 + -41 + -3x = 3 + -41 Combine like terms: 41 + -41 = 0 0 + -3x = 3 + -41 -3x = 3 + -41 Combine like terms: 3 + -41 = -38 -3x = -38 Divide each side by '-3'. x = 12.66666667 Simplifying x = 12.66666667
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