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Simplifying 3(-1x + 4) + 4(5x + 3) = 13 + -1x + 42 Reorder the terms: 3(4 + -1x) + 4(5x + 3) = 13 + -1x + 42 (4 * 3 + -1x * 3) + 4(5x + 3) = 13 + -1x + 42 (12 + -3x) + 4(5x + 3) = 13 + -1x + 42 Reorder the terms: 12 + -3x + 4(3 + 5x) = 13 + -1x + 42 12 + -3x + (3 * 4 + 5x * 4) = 13 + -1x + 42 12 + -3x + (12 + 20x) = 13 + -1x + 42 Reorder the terms: 12 + 12 + -3x + 20x = 13 + -1x + 42 Combine like terms: 12 + 12 = 24 24 + -3x + 20x = 13 + -1x + 42 Combine like terms: -3x + 20x = 17x 24 + 17x = 13 + -1x + 42 Reorder the terms: 24 + 17x = 13 + 42 + -1x Combine like terms: 13 + 42 = 55 24 + 17x = 55 + -1x Solving 24 + 17x = 55 + -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. 24 + 17x + x = 55 + -1x + x Combine like terms: 17x + x = 18x 24 + 18x = 55 + -1x + x Combine like terms: -1x + x = 0 24 + 18x = 55 + 0 24 + 18x = 55 Add '-24' to each side of the equation. 24 + -24 + 18x = 55 + -24 Combine like terms: 24 + -24 = 0 0 + 18x = 55 + -24 18x = 55 + -24 Combine like terms: 55 + -24 = 31 18x = 31 Divide each side by '18'. x = 1.722222222 Simplifying x = 1.722222222
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