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Simplifying 5(x + 1) + -3(2x + 5) = 2(10 + x) + 3 Reorder the terms: 5(1 + x) + -3(2x + 5) = 2(10 + x) + 3 (1 * 5 + x * 5) + -3(2x + 5) = 2(10 + x) + 3 (5 + 5x) + -3(2x + 5) = 2(10 + x) + 3 Reorder the terms: 5 + 5x + -3(5 + 2x) = 2(10 + x) + 3 5 + 5x + (5 * -3 + 2x * -3) = 2(10 + x) + 3 5 + 5x + (-15 + -6x) = 2(10 + x) + 3 Reorder the terms: 5 + -15 + 5x + -6x = 2(10 + x) + 3 Combine like terms: 5 + -15 = -10 -10 + 5x + -6x = 2(10 + x) + 3 Combine like terms: 5x + -6x = -1x -10 + -1x = 2(10 + x) + 3 -10 + -1x = (10 * 2 + x * 2) + 3 -10 + -1x = (20 + 2x) + 3 Reorder the terms: -10 + -1x = 20 + 3 + 2x Combine like terms: 20 + 3 = 23 -10 + -1x = 23 + 2x Solving -10 + -1x = 23 + 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. -10 + -1x + -2x = 23 + 2x + -2x Combine like terms: -1x + -2x = -3x -10 + -3x = 23 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + -3x = 23 + 0 -10 + -3x = 23 Add '10' to each side of the equation. -10 + 10 + -3x = 23 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = 23 + 10 -3x = 23 + 10 Combine like terms: 23 + 10 = 33 -3x = 33 Divide each side by '-3'. x = -11 Simplifying x = -11
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