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Simplifying 3(x + -4) + -2(4x + 5) = 4(3x + -6) + 6(3x + -7) Reorder the terms: 3(-4 + x) + -2(4x + 5) = 4(3x + -6) + 6(3x + -7) (-4 * 3 + x * 3) + -2(4x + 5) = 4(3x + -6) + 6(3x + -7) (-12 + 3x) + -2(4x + 5) = 4(3x + -6) + 6(3x + -7) Reorder the terms: -12 + 3x + -2(5 + 4x) = 4(3x + -6) + 6(3x + -7) -12 + 3x + (5 * -2 + 4x * -2) = 4(3x + -6) + 6(3x + -7) -12 + 3x + (-10 + -8x) = 4(3x + -6) + 6(3x + -7) Reorder the terms: -12 + -10 + 3x + -8x = 4(3x + -6) + 6(3x + -7) Combine like terms: -12 + -10 = -22 -22 + 3x + -8x = 4(3x + -6) + 6(3x + -7) Combine like terms: 3x + -8x = -5x -22 + -5x = 4(3x + -6) + 6(3x + -7) Reorder the terms: -22 + -5x = 4(-6 + 3x) + 6(3x + -7) -22 + -5x = (-6 * 4 + 3x * 4) + 6(3x + -7) -22 + -5x = (-24 + 12x) + 6(3x + -7) Reorder the terms: -22 + -5x = -24 + 12x + 6(-7 + 3x) -22 + -5x = -24 + 12x + (-7 * 6 + 3x * 6) -22 + -5x = -24 + 12x + (-42 + 18x) Reorder the terms: -22 + -5x = -24 + -42 + 12x + 18x Combine like terms: -24 + -42 = -66 -22 + -5x = -66 + 12x + 18x Combine like terms: 12x + 18x = 30x -22 + -5x = -66 + 30x Solving -22 + -5x = -66 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -22 + -5x + -30x = -66 + 30x + -30x Combine like terms: -5x + -30x = -35x -22 + -35x = -66 + 30x + -30x Combine like terms: 30x + -30x = 0 -22 + -35x = -66 + 0 -22 + -35x = -66 Add '22' to each side of the equation. -22 + 22 + -35x = -66 + 22 Combine like terms: -22 + 22 = 0 0 + -35x = -66 + 22 -35x = -66 + 22 Combine like terms: -66 + 22 = -44 -35x = -44 Divide each side by '-35'. x = 1.257142857 Simplifying x = 1.257142857
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