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Simplifying 18(x + 4) + -2 = 2(x + 5) + -3x Reorder the terms: 18(4 + x) + -2 = 2(x + 5) + -3x (4 * 18 + x * 18) + -2 = 2(x + 5) + -3x (72 + 18x) + -2 = 2(x + 5) + -3x Reorder the terms: 72 + -2 + 18x = 2(x + 5) + -3x Combine like terms: 72 + -2 = 70 70 + 18x = 2(x + 5) + -3x Reorder the terms: 70 + 18x = 2(5 + x) + -3x 70 + 18x = (5 * 2 + x * 2) + -3x 70 + 18x = (10 + 2x) + -3x Combine like terms: 2x + -3x = -1x 70 + 18x = 10 + -1x Solving 70 + 18x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 70 + 18x + x = 10 + -1x + x Combine like terms: 18x + x = 19x 70 + 19x = 10 + -1x + x Combine like terms: -1x + x = 0 70 + 19x = 10 + 0 70 + 19x = 10 Add '-70' to each side of the equation. 70 + -70 + 19x = 10 + -70 Combine like terms: 70 + -70 = 0 0 + 19x = 10 + -70 19x = 10 + -70 Combine like terms: 10 + -70 = -60 19x = -60 Divide each side by '19'. x = -3.157894737 Simplifying x = -3.157894737
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