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Simplifying 4(x + -3) = 5x + 1 + -2(-4x + -1) Reorder the terms: 4(-3 + x) = 5x + 1 + -2(-4x + -1) (-3 * 4 + x * 4) = 5x + 1 + -2(-4x + -1) (-12 + 4x) = 5x + 1 + -2(-4x + -1) Reorder the terms: -12 + 4x = 5x + 1 + -2(-1 + -4x) -12 + 4x = 5x + 1 + (-1 * -2 + -4x * -2) -12 + 4x = 5x + 1 + (2 + 8x) Reorder the terms: -12 + 4x = 1 + 2 + 5x + 8x Combine like terms: 1 + 2 = 3 -12 + 4x = 3 + 5x + 8x Combine like terms: 5x + 8x = 13x -12 + 4x = 3 + 13x Solving -12 + 4x = 3 + 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. -12 + 4x + -13x = 3 + 13x + -13x Combine like terms: 4x + -13x = -9x -12 + -9x = 3 + 13x + -13x Combine like terms: 13x + -13x = 0 -12 + -9x = 3 + 0 -12 + -9x = 3 Add '12' to each side of the equation. -12 + 12 + -9x = 3 + 12 Combine like terms: -12 + 12 = 0 0 + -9x = 3 + 12 -9x = 3 + 12 Combine like terms: 3 + 12 = 15 -9x = 15 Divide each side by '-9'. x = -1.666666667 Simplifying x = -1.666666667
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