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Simplifying 5(3 + -2x) + 4 = x + 2(7 + -1x) (3 * 5 + -2x * 5) + 4 = x + 2(7 + -1x) (15 + -10x) + 4 = x + 2(7 + -1x) Reorder the terms: 15 + 4 + -10x = x + 2(7 + -1x) Combine like terms: 15 + 4 = 19 19 + -10x = x + 2(7 + -1x) 19 + -10x = x + (7 * 2 + -1x * 2) 19 + -10x = x + (14 + -2x) Reorder the terms: 19 + -10x = 14 + x + -2x Combine like terms: x + -2x = -1x 19 + -10x = 14 + -1x Solving 19 + -10x = 14 + -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. 19 + -10x + x = 14 + -1x + x Combine like terms: -10x + x = -9x 19 + -9x = 14 + -1x + x Combine like terms: -1x + x = 0 19 + -9x = 14 + 0 19 + -9x = 14 Add '-19' to each side of the equation. 19 + -19 + -9x = 14 + -19 Combine like terms: 19 + -19 = 0 0 + -9x = 14 + -19 -9x = 14 + -19 Combine like terms: 14 + -19 = -5 -9x = -5 Divide each side by '-9'. x = 0.5555555556 Simplifying x = 0.5555555556
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