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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 = -10 -10 + 7x + 3x = 6x + -12 Combine like terms: 7x + 3x = 10x -10 + 10x = 6x + -12 Reorder the terms: -10 + 10x = -12 + 6x Solving -10 + 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. -10 + 10x + -6x = -12 + 6x + -6x Combine like terms: 10x + -6x = 4x -10 + 4x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + 4x = -12 + 0 -10 + 4x = -12 Add '10' to each side of the equation. -10 + 10 + 4x = -12 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = -12 + 10 4x = -12 + 10 Combine like terms: -12 + 10 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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