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Simplifying 5(2x + 1) = 3(x + -4) + -5 Reorder the terms: 5(1 + 2x) = 3(x + -4) + -5 (1 * 5 + 2x * 5) = 3(x + -4) + -5 (5 + 10x) = 3(x + -4) + -5 Reorder the terms: 5 + 10x = 3(-4 + x) + -5 5 + 10x = (-4 * 3 + x * 3) + -5 5 + 10x = (-12 + 3x) + -5 Reorder the terms: 5 + 10x = -12 + -5 + 3x Combine like terms: -12 + -5 = -17 5 + 10x = -17 + 3x Solving 5 + 10x = -17 + 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. 5 + 10x + -3x = -17 + 3x + -3x Combine like terms: 10x + -3x = 7x 5 + 7x = -17 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + 7x = -17 + 0 5 + 7x = -17 Add '-5' to each side of the equation. 5 + -5 + 7x = -17 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = -17 + -5 7x = -17 + -5 Combine like terms: -17 + -5 = -22 7x = -22 Divide each side by '7'. x = -3.142857143 Simplifying x = -3.142857143
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