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Simplifying 6(x + -2) + -7(x + -4) = 6 + -3x Reorder the terms: 6(-2 + x) + -7(x + -4) = 6 + -3x (-2 * 6 + x * 6) + -7(x + -4) = 6 + -3x (-12 + 6x) + -7(x + -4) = 6 + -3x Reorder the terms: -12 + 6x + -7(-4 + x) = 6 + -3x -12 + 6x + (-4 * -7 + x * -7) = 6 + -3x -12 + 6x + (28 + -7x) = 6 + -3x Reorder the terms: -12 + 28 + 6x + -7x = 6 + -3x Combine like terms: -12 + 28 = 16 16 + 6x + -7x = 6 + -3x Combine like terms: 6x + -7x = -1x 16 + -1x = 6 + -3x Solving 16 + -1x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 16 + -1x + 3x = 6 + -3x + 3x Combine like terms: -1x + 3x = 2x 16 + 2x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 16 + 2x = 6 + 0 16 + 2x = 6 Add '-16' to each side of the equation. 16 + -16 + 2x = 6 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = 6 + -16 2x = 6 + -16 Combine like terms: 6 + -16 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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