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Simplifying 2(x + -6) = -4(x + -45) Reorder the terms: 2(-6 + x) = -4(x + -45) (-6 * 2 + x * 2) = -4(x + -45) (-12 + 2x) = -4(x + -45) Reorder the terms: -12 + 2x = -4(-45 + x) -12 + 2x = (-45 * -4 + x * -4) -12 + 2x = (180 + -4x) Solving -12 + 2x = 180 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -12 + 2x + 4x = 180 + -4x + 4x Combine like terms: 2x + 4x = 6x -12 + 6x = 180 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 6x = 180 + 0 -12 + 6x = 180 Add '12' to each side of the equation. -12 + 12 + 6x = 180 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 180 + 12 6x = 180 + 12 Combine like terms: 180 + 12 = 192 6x = 192 Divide each side by '6'. x = 32 Simplifying x = 32
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