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Simplifying 5 + 4(x + -1) = 10 + -3(x + -5) Reorder the terms: 5 + 4(-1 + x) = 10 + -3(x + -5) 5 + (-1 * 4 + x * 4) = 10 + -3(x + -5) 5 + (-4 + 4x) = 10 + -3(x + -5) Combine like terms: 5 + -4 = 1 1 + 4x = 10 + -3(x + -5) Reorder the terms: 1 + 4x = 10 + -3(-5 + x) 1 + 4x = 10 + (-5 * -3 + x * -3) 1 + 4x = 10 + (15 + -3x) Combine like terms: 10 + 15 = 25 1 + 4x = 25 + -3x Solving 1 + 4x = 25 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 1 + 4x + 3x = 25 + -3x + 3x Combine like terms: 4x + 3x = 7x 1 + 7x = 25 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 7x = 25 + 0 1 + 7x = 25 Add '-1' to each side of the equation. 1 + -1 + 7x = 25 + -1 Combine like terms: 1 + -1 = 0 0 + 7x = 25 + -1 7x = 25 + -1 Combine like terms: 25 + -1 = 24 7x = 24 Divide each side by '7'. x = 3.428571429 Simplifying x = 3.428571429
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