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Simplifying 7(x + 3) = 2(5x + -8) + -13 Reorder the terms: 7(3 + x) = 2(5x + -8) + -13 (3 * 7 + x * 7) = 2(5x + -8) + -13 (21 + 7x) = 2(5x + -8) + -13 Reorder the terms: 21 + 7x = 2(-8 + 5x) + -13 21 + 7x = (-8 * 2 + 5x * 2) + -13 21 + 7x = (-16 + 10x) + -13 Reorder the terms: 21 + 7x = -16 + -13 + 10x Combine like terms: -16 + -13 = -29 21 + 7x = -29 + 10x Solving 21 + 7x = -29 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 21 + 7x + -10x = -29 + 10x + -10x Combine like terms: 7x + -10x = -3x 21 + -3x = -29 + 10x + -10x Combine like terms: 10x + -10x = 0 21 + -3x = -29 + 0 21 + -3x = -29 Add '-21' to each side of the equation. 21 + -21 + -3x = -29 + -21 Combine like terms: 21 + -21 = 0 0 + -3x = -29 + -21 -3x = -29 + -21 Combine like terms: -29 + -21 = -50 -3x = -50 Divide each side by '-3'. x = 16.66666667 Simplifying x = 16.66666667
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