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Simplifying 4(x + -2) + -5(3x + 1) = 3 + -4(x + -1) Reorder the terms: 4(-2 + x) + -5(3x + 1) = 3 + -4(x + -1) (-2 * 4 + x * 4) + -5(3x + 1) = 3 + -4(x + -1) (-8 + 4x) + -5(3x + 1) = 3 + -4(x + -1) Reorder the terms: -8 + 4x + -5(1 + 3x) = 3 + -4(x + -1) -8 + 4x + (1 * -5 + 3x * -5) = 3 + -4(x + -1) -8 + 4x + (-5 + -15x) = 3 + -4(x + -1) Reorder the terms: -8 + -5 + 4x + -15x = 3 + -4(x + -1) Combine like terms: -8 + -5 = -13 -13 + 4x + -15x = 3 + -4(x + -1) Combine like terms: 4x + -15x = -11x -13 + -11x = 3 + -4(x + -1) Reorder the terms: -13 + -11x = 3 + -4(-1 + x) -13 + -11x = 3 + (-1 * -4 + x * -4) -13 + -11x = 3 + (4 + -4x) Combine like terms: 3 + 4 = 7 -13 + -11x = 7 + -4x Solving -13 + -11x = 7 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -13 + -11x + 4x = 7 + -4x + 4x Combine like terms: -11x + 4x = -7x -13 + -7x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 -13 + -7x = 7 + 0 -13 + -7x = 7 Add '13' to each side of the equation. -13 + 13 + -7x = 7 + 13 Combine like terms: -13 + 13 = 0 0 + -7x = 7 + 13 -7x = 7 + 13 Combine like terms: 7 + 13 = 20 -7x = 20 Divide each side by '-7'. x = -2.857142857 Simplifying x = -2.857142857
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