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Simplifying 4(6x + -5) + -9x = x + -1(4x + -20) Reorder the terms: 4(-5 + 6x) + -9x = x + -1(4x + -20) (-5 * 4 + 6x * 4) + -9x = x + -1(4x + -20) (-20 + 24x) + -9x = x + -1(4x + -20) Combine like terms: 24x + -9x = 15x -20 + 15x = x + -1(4x + -20) Reorder the terms: -20 + 15x = x + -1(-20 + 4x) -20 + 15x = x + (-20 * -1 + 4x * -1) -20 + 15x = x + (20 + -4x) Reorder the terms: -20 + 15x = 20 + x + -4x Combine like terms: x + -4x = -3x -20 + 15x = 20 + -3x Solving -20 + 15x = 20 + -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. -20 + 15x + 3x = 20 + -3x + 3x Combine like terms: 15x + 3x = 18x -20 + 18x = 20 + -3x + 3x Combine like terms: -3x + 3x = 0 -20 + 18x = 20 + 0 -20 + 18x = 20 Add '20' to each side of the equation. -20 + 20 + 18x = 20 + 20 Combine like terms: -20 + 20 = 0 0 + 18x = 20 + 20 18x = 20 + 20 Combine like terms: 20 + 20 = 40 18x = 40 Divide each side by '18'. x = 2.222222222 Simplifying x = 2.222222222
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