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Simplifying 45 = 5(4x + 3) + -1(x + 8) Reorder the terms: 45 = 5(3 + 4x) + -1(x + 8) 45 = (3 * 5 + 4x * 5) + -1(x + 8) 45 = (15 + 20x) + -1(x + 8) Reorder the terms: 45 = 15 + 20x + -1(8 + x) 45 = 15 + 20x + (8 * -1 + x * -1) 45 = 15 + 20x + (-8 + -1x) Reorder the terms: 45 = 15 + -8 + 20x + -1x Combine like terms: 15 + -8 = 7 45 = 7 + 20x + -1x Combine like terms: 20x + -1x = 19x 45 = 7 + 19x Solving 45 = 7 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 45 + -19x = 7 + 19x + -19x Combine like terms: 19x + -19x = 0 45 + -19x = 7 + 0 45 + -19x = 7 Add '-45' to each side of the equation. 45 + -45 + -19x = 7 + -45 Combine like terms: 45 + -45 = 0 0 + -19x = 7 + -45 -19x = 7 + -45 Combine like terms: 7 + -45 = -38 -19x = -38 Divide each side by '-19'. x = 2 Simplifying x = 2
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