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Simplifying 4 + 5(2x + 3) = 8(3 + -1x) Reorder the terms: 4 + 5(3 + 2x) = 8(3 + -1x) 4 + (3 * 5 + 2x * 5) = 8(3 + -1x) 4 + (15 + 10x) = 8(3 + -1x) Combine like terms: 4 + 15 = 19 19 + 10x = 8(3 + -1x) 19 + 10x = (3 * 8 + -1x * 8) 19 + 10x = (24 + -8x) Solving 19 + 10x = 24 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 19 + 10x + 8x = 24 + -8x + 8x Combine like terms: 10x + 8x = 18x 19 + 18x = 24 + -8x + 8x Combine like terms: -8x + 8x = 0 19 + 18x = 24 + 0 19 + 18x = 24 Add '-19' to each side of the equation. 19 + -19 + 18x = 24 + -19 Combine like terms: 19 + -19 = 0 0 + 18x = 24 + -19 18x = 24 + -19 Combine like terms: 24 + -19 = 5 18x = 5 Divide each side by '18'. x = 0.2777777778 Simplifying x = 0.2777777778
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