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Simplifying 2(4x + -6) = 4(3x + -7) Reorder the terms: 2(-6 + 4x) = 4(3x + -7) (-6 * 2 + 4x * 2) = 4(3x + -7) (-12 + 8x) = 4(3x + -7) Reorder the terms: -12 + 8x = 4(-7 + 3x) -12 + 8x = (-7 * 4 + 3x * 4) -12 + 8x = (-28 + 12x) Solving -12 + 8x = -28 + 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. -12 + 8x + -12x = -28 + 12x + -12x Combine like terms: 8x + -12x = -4x -12 + -4x = -28 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + -4x = -28 + 0 -12 + -4x = -28 Add '12' to each side of the equation. -12 + 12 + -4x = -28 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = -28 + 12 -4x = -28 + 12 Combine like terms: -28 + 12 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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