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Simplifying -4(x + -5) + -1 = 3(x + -8) Reorder the terms: -4(-5 + x) + -1 = 3(x + -8) (-5 * -4 + x * -4) + -1 = 3(x + -8) (20 + -4x) + -1 = 3(x + -8) Reorder the terms: 20 + -1 + -4x = 3(x + -8) Combine like terms: 20 + -1 = 19 19 + -4x = 3(x + -8) Reorder the terms: 19 + -4x = 3(-8 + x) 19 + -4x = (-8 * 3 + x * 3) 19 + -4x = (-24 + 3x) Solving 19 + -4x = -24 + 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. 19 + -4x + -3x = -24 + 3x + -3x Combine like terms: -4x + -3x = -7x 19 + -7x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 19 + -7x = -24 + 0 19 + -7x = -24 Add '-19' to each side of the equation. 19 + -19 + -7x = -24 + -19 Combine like terms: 19 + -19 = 0 0 + -7x = -24 + -19 -7x = -24 + -19 Combine like terms: -24 + -19 = -43 -7x = -43 Divide each side by '-7'. x = 6.142857143 Simplifying x = 6.142857143
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