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Simplifying 2(4x + -6) = 3(3x + -7) Reorder the terms: 2(-6 + 4x) = 3(3x + -7) (-6 * 2 + 4x * 2) = 3(3x + -7) (-12 + 8x) = 3(3x + -7) Reorder the terms: -12 + 8x = 3(-7 + 3x) -12 + 8x = (-7 * 3 + 3x * 3) -12 + 8x = (-21 + 9x) Solving -12 + 8x = -21 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -12 + 8x + -9x = -21 + 9x + -9x Combine like terms: 8x + -9x = -1x -12 + -1x = -21 + 9x + -9x Combine like terms: 9x + -9x = 0 -12 + -1x = -21 + 0 -12 + -1x = -21 Add '12' to each side of the equation. -12 + 12 + -1x = -21 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = -21 + 12 -1x = -21 + 12 Combine like terms: -21 + 12 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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