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Simplifying 4(x + -5) = 3(6 + -5x) + -95 Reorder the terms: 4(-5 + x) = 3(6 + -5x) + -95 (-5 * 4 + x * 4) = 3(6 + -5x) + -95 (-20 + 4x) = 3(6 + -5x) + -95 -20 + 4x = (6 * 3 + -5x * 3) + -95 -20 + 4x = (18 + -15x) + -95 Reorder the terms: -20 + 4x = 18 + -95 + -15x Combine like terms: 18 + -95 = -77 -20 + 4x = -77 + -15x Solving -20 + 4x = -77 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -20 + 4x + 15x = -77 + -15x + 15x Combine like terms: 4x + 15x = 19x -20 + 19x = -77 + -15x + 15x Combine like terms: -15x + 15x = 0 -20 + 19x = -77 + 0 -20 + 19x = -77 Add '20' to each side of the equation. -20 + 20 + 19x = -77 + 20 Combine like terms: -20 + 20 = 0 0 + 19x = -77 + 20 19x = -77 + 20 Combine like terms: -77 + 20 = -57 19x = -57 Divide each side by '19'. x = -3 Simplifying x = -3
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