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Simplifying 3(2x + -12) = -2(x + -4) + x Reorder the terms: 3(-12 + 2x) = -2(x + -4) + x (-12 * 3 + 2x * 3) = -2(x + -4) + x (-36 + 6x) = -2(x + -4) + x Reorder the terms: -36 + 6x = -2(-4 + x) + x -36 + 6x = (-4 * -2 + x * -2) + x -36 + 6x = (8 + -2x) + x Combine like terms: -2x + x = -1x -36 + 6x = 8 + -1x Solving -36 + 6x = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -36 + 6x + x = 8 + -1x + x Combine like terms: 6x + x = 7x -36 + 7x = 8 + -1x + x Combine like terms: -1x + x = 0 -36 + 7x = 8 + 0 -36 + 7x = 8 Add '36' to each side of the equation. -36 + 36 + 7x = 8 + 36 Combine like terms: -36 + 36 = 0 0 + 7x = 8 + 36 7x = 8 + 36 Combine like terms: 8 + 36 = 44 7x = 44 Divide each side by '7'. x = 6.285714286 Simplifying x = 6.285714286
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