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Simplifying 6(x + -6) + 6 = 8(x + -2) + -10 Reorder the terms: 6(-6 + x) + 6 = 8(x + -2) + -10 (-6 * 6 + x * 6) + 6 = 8(x + -2) + -10 (-36 + 6x) + 6 = 8(x + -2) + -10 Reorder the terms: -36 + 6 + 6x = 8(x + -2) + -10 Combine like terms: -36 + 6 = -30 -30 + 6x = 8(x + -2) + -10 Reorder the terms: -30 + 6x = 8(-2 + x) + -10 -30 + 6x = (-2 * 8 + x * 8) + -10 -30 + 6x = (-16 + 8x) + -10 Reorder the terms: -30 + 6x = -16 + -10 + 8x Combine like terms: -16 + -10 = -26 -30 + 6x = -26 + 8x Solving -30 + 6x = -26 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -30 + 6x + -8x = -26 + 8x + -8x Combine like terms: 6x + -8x = -2x -30 + -2x = -26 + 8x + -8x Combine like terms: 8x + -8x = 0 -30 + -2x = -26 + 0 -30 + -2x = -26 Add '30' to each side of the equation. -30 + 30 + -2x = -26 + 30 Combine like terms: -30 + 30 = 0 0 + -2x = -26 + 30 -2x = -26 + 30 Combine like terms: -26 + 30 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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