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Simplifying 4(x + -5) = 3(x + -5) + -1(2 + -10x) Reorder the terms: 4(-5 + x) = 3(x + -5) + -1(2 + -10x) (-5 * 4 + x * 4) = 3(x + -5) + -1(2 + -10x) (-20 + 4x) = 3(x + -5) + -1(2 + -10x) Reorder the terms: -20 + 4x = 3(-5 + x) + -1(2 + -10x) -20 + 4x = (-5 * 3 + x * 3) + -1(2 + -10x) -20 + 4x = (-15 + 3x) + -1(2 + -10x) -20 + 4x = -15 + 3x + (2 * -1 + -10x * -1) -20 + 4x = -15 + 3x + (-2 + 10x) Reorder the terms: -20 + 4x = -15 + -2 + 3x + 10x Combine like terms: -15 + -2 = -17 -20 + 4x = -17 + 3x + 10x Combine like terms: 3x + 10x = 13x -20 + 4x = -17 + 13x Solving -20 + 4x = -17 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -20 + 4x + -13x = -17 + 13x + -13x Combine like terms: 4x + -13x = -9x -20 + -9x = -17 + 13x + -13x Combine like terms: 13x + -13x = 0 -20 + -9x = -17 + 0 -20 + -9x = -17 Add '20' to each side of the equation. -20 + 20 + -9x = -17 + 20 Combine like terms: -20 + 20 = 0 0 + -9x = -17 + 20 -9x = -17 + 20 Combine like terms: -17 + 20 = 3 -9x = 3 Divide each side by '-9'. x = -0.3333333333 Simplifying x = -0.3333333333
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