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Simplifying 6(x + -4) + -12 = 5(x + -12) + 6 Reorder the terms: 6(-4 + x) + -12 = 5(x + -12) + 6 (-4 * 6 + x * 6) + -12 = 5(x + -12) + 6 (-24 + 6x) + -12 = 5(x + -12) + 6 Reorder the terms: -24 + -12 + 6x = 5(x + -12) + 6 Combine like terms: -24 + -12 = -36 -36 + 6x = 5(x + -12) + 6 Reorder the terms: -36 + 6x = 5(-12 + x) + 6 -36 + 6x = (-12 * 5 + x * 5) + 6 -36 + 6x = (-60 + 5x) + 6 Reorder the terms: -36 + 6x = -60 + 6 + 5x Combine like terms: -60 + 6 = -54 -36 + 6x = -54 + 5x Solving -36 + 6x = -54 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -36 + 6x + -5x = -54 + 5x + -5x Combine like terms: 6x + -5x = 1x -36 + 1x = -54 + 5x + -5x Combine like terms: 5x + -5x = 0 -36 + 1x = -54 + 0 -36 + 1x = -54 Add '36' to each side of the equation. -36 + 36 + 1x = -54 + 36 Combine like terms: -36 + 36 = 0 0 + 1x = -54 + 36 1x = -54 + 36 Combine like terms: -54 + 36 = -18 1x = -18 Divide each side by '1'. x = -18 Simplifying x = -18
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