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Simplifying 3(x + 2) + -5(2x + 7) = 11x + -3 Reorder the terms: 3(2 + x) + -5(2x + 7) = 11x + -3 (2 * 3 + x * 3) + -5(2x + 7) = 11x + -3 (6 + 3x) + -5(2x + 7) = 11x + -3 Reorder the terms: 6 + 3x + -5(7 + 2x) = 11x + -3 6 + 3x + (7 * -5 + 2x * -5) = 11x + -3 6 + 3x + (-35 + -10x) = 11x + -3 Reorder the terms: 6 + -35 + 3x + -10x = 11x + -3 Combine like terms: 6 + -35 = -29 -29 + 3x + -10x = 11x + -3 Combine like terms: 3x + -10x = -7x -29 + -7x = 11x + -3 Reorder the terms: -29 + -7x = -3 + 11x Solving -29 + -7x = -3 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -29 + -7x + -11x = -3 + 11x + -11x Combine like terms: -7x + -11x = -18x -29 + -18x = -3 + 11x + -11x Combine like terms: 11x + -11x = 0 -29 + -18x = -3 + 0 -29 + -18x = -3 Add '29' to each side of the equation. -29 + 29 + -18x = -3 + 29 Combine like terms: -29 + 29 = 0 0 + -18x = -3 + 29 -18x = -3 + 29 Combine like terms: -3 + 29 = 26 -18x = 26 Divide each side by '-18'. x = -1.444444444 Simplifying x = -1.444444444
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