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Simplifying 3(x + -4) + -1(6x + 1) = 4(3x + 3) Reorder the terms: 3(-4 + x) + -1(6x + 1) = 4(3x + 3) (-4 * 3 + x * 3) + -1(6x + 1) = 4(3x + 3) (-12 + 3x) + -1(6x + 1) = 4(3x + 3) Reorder the terms: -12 + 3x + -1(1 + 6x) = 4(3x + 3) -12 + 3x + (1 * -1 + 6x * -1) = 4(3x + 3) -12 + 3x + (-1 + -6x) = 4(3x + 3) Reorder the terms: -12 + -1 + 3x + -6x = 4(3x + 3) Combine like terms: -12 + -1 = -13 -13 + 3x + -6x = 4(3x + 3) Combine like terms: 3x + -6x = -3x -13 + -3x = 4(3x + 3) Reorder the terms: -13 + -3x = 4(3 + 3x) -13 + -3x = (3 * 4 + 3x * 4) -13 + -3x = (12 + 12x) Solving -13 + -3x = 12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -13 + -3x + -12x = 12 + 12x + -12x Combine like terms: -3x + -12x = -15x -13 + -15x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -13 + -15x = 12 + 0 -13 + -15x = 12 Add '13' to each side of the equation. -13 + 13 + -15x = 12 + 13 Combine like terms: -13 + 13 = 0 0 + -15x = 12 + 13 -15x = 12 + 13 Combine like terms: 12 + 13 = 25 -15x = 25 Divide each side by '-15'. x = -1.666666667 Simplifying x = -1.666666667
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