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Simplifying 3(x + -4) + -1(6x + 7) = 4(3x + 3) Reorder the terms: 3(-4 + x) + -1(6x + 7) = 4(3x + 3) (-4 * 3 + x * 3) + -1(6x + 7) = 4(3x + 3) (-12 + 3x) + -1(6x + 7) = 4(3x + 3) Reorder the terms: -12 + 3x + -1(7 + 6x) = 4(3x + 3) -12 + 3x + (7 * -1 + 6x * -1) = 4(3x + 3) -12 + 3x + (-7 + -6x) = 4(3x + 3) Reorder the terms: -12 + -7 + 3x + -6x = 4(3x + 3) Combine like terms: -12 + -7 = -19 -19 + 3x + -6x = 4(3x + 3) Combine like terms: 3x + -6x = -3x -19 + -3x = 4(3x + 3) Reorder the terms: -19 + -3x = 4(3 + 3x) -19 + -3x = (3 * 4 + 3x * 4) -19 + -3x = (12 + 12x) Solving -19 + -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. -19 + -3x + -12x = 12 + 12x + -12x Combine like terms: -3x + -12x = -15x -19 + -15x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -19 + -15x = 12 + 0 -19 + -15x = 12 Add '19' to each side of the equation. -19 + 19 + -15x = 12 + 19 Combine like terms: -19 + 19 = 0 0 + -15x = 12 + 19 -15x = 12 + 19 Combine like terms: 12 + 19 = 31 -15x = 31 Divide each side by '-15'. x = -2.066666667 Simplifying x = -2.066666667
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