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Simplifying 7(x + -4) + 3(x + -6) = 6x + -12 Reorder the terms: 7(-4 + x) + 3(x + -6) = 6x + -12 (-4 * 7 + x * 7) + 3(x + -6) = 6x + -12 (-28 + 7x) + 3(x + -6) = 6x + -12 Reorder the terms: -28 + 7x + 3(-6 + x) = 6x + -12 -28 + 7x + (-6 * 3 + x * 3) = 6x + -12 -28 + 7x + (-18 + 3x) = 6x + -12 Reorder the terms: -28 + -18 + 7x + 3x = 6x + -12 Combine like terms: -28 + -18 = -46 -46 + 7x + 3x = 6x + -12 Combine like terms: 7x + 3x = 10x -46 + 10x = 6x + -12 Reorder the terms: -46 + 10x = -12 + 6x Solving -46 + 10x = -12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -46 + 10x + -6x = -12 + 6x + -6x Combine like terms: 10x + -6x = 4x -46 + 4x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -46 + 4x = -12 + 0 -46 + 4x = -12 Add '46' to each side of the equation. -46 + 46 + 4x = -12 + 46 Combine like terms: -46 + 46 = 0 0 + 4x = -12 + 46 4x = -12 + 46 Combine like terms: -12 + 46 = 34 4x = 34 Divide each side by '4'. x = 8.5 Simplifying x = 8.5
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