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Simplifying 6(x + -4) + -2x + 6 = 7x + -4(x + 6) + -2 Reorder the terms: 6(-4 + x) + -2x + 6 = 7x + -4(x + 6) + -2 (-4 * 6 + x * 6) + -2x + 6 = 7x + -4(x + 6) + -2 (-24 + 6x) + -2x + 6 = 7x + -4(x + 6) + -2 Reorder the terms: -24 + 6 + 6x + -2x = 7x + -4(x + 6) + -2 Combine like terms: -24 + 6 = -18 -18 + 6x + -2x = 7x + -4(x + 6) + -2 Combine like terms: 6x + -2x = 4x -18 + 4x = 7x + -4(x + 6) + -2 Reorder the terms: -18 + 4x = 7x + -4(6 + x) + -2 -18 + 4x = 7x + (6 * -4 + x * -4) + -2 -18 + 4x = 7x + (-24 + -4x) + -2 Reorder the terms: -18 + 4x = -24 + -2 + 7x + -4x Combine like terms: -24 + -2 = -26 -18 + 4x = -26 + 7x + -4x Combine like terms: 7x + -4x = 3x -18 + 4x = -26 + 3x Solving -18 + 4x = -26 + 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. -18 + 4x + -3x = -26 + 3x + -3x Combine like terms: 4x + -3x = 1x -18 + 1x = -26 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 1x = -26 + 0 -18 + 1x = -26 Add '18' to each side of the equation. -18 + 18 + 1x = -26 + 18 Combine like terms: -18 + 18 = 0 0 + 1x = -26 + 18 1x = -26 + 18 Combine like terms: -26 + 18 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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