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Simplifying 4(x + 5) + -1(2x + 1) = 3(x + -5) + 180 Reorder the terms: 4(5 + x) + -1(2x + 1) = 3(x + -5) + 180 (5 * 4 + x * 4) + -1(2x + 1) = 3(x + -5) + 180 (20 + 4x) + -1(2x + 1) = 3(x + -5) + 180 Reorder the terms: 20 + 4x + -1(1 + 2x) = 3(x + -5) + 180 20 + 4x + (1 * -1 + 2x * -1) = 3(x + -5) + 180 20 + 4x + (-1 + -2x) = 3(x + -5) + 180 Reorder the terms: 20 + -1 + 4x + -2x = 3(x + -5) + 180 Combine like terms: 20 + -1 = 19 19 + 4x + -2x = 3(x + -5) + 180 Combine like terms: 4x + -2x = 2x 19 + 2x = 3(x + -5) + 180 Reorder the terms: 19 + 2x = 3(-5 + x) + 180 19 + 2x = (-5 * 3 + x * 3) + 180 19 + 2x = (-15 + 3x) + 180 Reorder the terms: 19 + 2x = -15 + 180 + 3x Combine like terms: -15 + 180 = 165 19 + 2x = 165 + 3x Solving 19 + 2x = 165 + 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 + 2x + -3x = 165 + 3x + -3x Combine like terms: 2x + -3x = -1x 19 + -1x = 165 + 3x + -3x Combine like terms: 3x + -3x = 0 19 + -1x = 165 + 0 19 + -1x = 165 Add '-19' to each side of the equation. 19 + -19 + -1x = 165 + -19 Combine like terms: 19 + -19 = 0 0 + -1x = 165 + -19 -1x = 165 + -19 Combine like terms: 165 + -19 = 146 -1x = 146 Divide each side by '-1'. x = -146 Simplifying x = -146
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