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Simplifying 6(x + -4) + -4(x + -3) = 4(2x + -7) Reorder the terms: 6(-4 + x) + -4(x + -3) = 4(2x + -7) (-4 * 6 + x * 6) + -4(x + -3) = 4(2x + -7) (-24 + 6x) + -4(x + -3) = 4(2x + -7) Reorder the terms: -24 + 6x + -4(-3 + x) = 4(2x + -7) -24 + 6x + (-3 * -4 + x * -4) = 4(2x + -7) -24 + 6x + (12 + -4x) = 4(2x + -7) Reorder the terms: -24 + 12 + 6x + -4x = 4(2x + -7) Combine like terms: -24 + 12 = -12 -12 + 6x + -4x = 4(2x + -7) Combine like terms: 6x + -4x = 2x -12 + 2x = 4(2x + -7) Reorder the terms: -12 + 2x = 4(-7 + 2x) -12 + 2x = (-7 * 4 + 2x * 4) -12 + 2x = (-28 + 8x) Solving -12 + 2x = -28 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + 2x + -8x = -28 + 8x + -8x Combine like terms: 2x + -8x = -6x -12 + -6x = -28 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -6x = -28 + 0 -12 + -6x = -28 Add '12' to each side of the equation. -12 + 12 + -6x = -28 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = -28 + 12 -6x = -28 + 12 Combine like terms: -28 + 12 = -16 -6x = -16 Divide each side by '-6'. x = 2.666666667 Simplifying x = 2.666666667
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