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Simplifying 5(3x + 8) + -4(2x + -3) = 101 Reorder the terms: 5(8 + 3x) + -4(2x + -3) = 101 (8 * 5 + 3x * 5) + -4(2x + -3) = 101 (40 + 15x) + -4(2x + -3) = 101 Reorder the terms: 40 + 15x + -4(-3 + 2x) = 101 40 + 15x + (-3 * -4 + 2x * -4) = 101 40 + 15x + (12 + -8x) = 101 Reorder the terms: 40 + 12 + 15x + -8x = 101 Combine like terms: 40 + 12 = 52 52 + 15x + -8x = 101 Combine like terms: 15x + -8x = 7x 52 + 7x = 101 Solving 52 + 7x = 101 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 7x = 101 + -52 Combine like terms: 52 + -52 = 0 0 + 7x = 101 + -52 7x = 101 + -52 Combine like terms: 101 + -52 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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