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Simplifying 4(2x + -1) + 5(x + 3) = 102 Reorder the terms: 4(-1 + 2x) + 5(x + 3) = 102 (-1 * 4 + 2x * 4) + 5(x + 3) = 102 (-4 + 8x) + 5(x + 3) = 102 Reorder the terms: -4 + 8x + 5(3 + x) = 102 -4 + 8x + (3 * 5 + x * 5) = 102 -4 + 8x + (15 + 5x) = 102 Reorder the terms: -4 + 15 + 8x + 5x = 102 Combine like terms: -4 + 15 = 11 11 + 8x + 5x = 102 Combine like terms: 8x + 5x = 13x 11 + 13x = 102 Solving 11 + 13x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 13x = 102 + -11 Combine like terms: 11 + -11 = 0 0 + 13x = 102 + -11 13x = 102 + -11 Combine like terms: 102 + -11 = 91 13x = 91 Divide each side by '13'. x = 7 Simplifying x = 7
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