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Simplifying 8(x + -6) + 6 = 8x + -6(6 + -1x) Reorder the terms: 8(-6 + x) + 6 = 8x + -6(6 + -1x) (-6 * 8 + x * 8) + 6 = 8x + -6(6 + -1x) (-48 + 8x) + 6 = 8x + -6(6 + -1x) Reorder the terms: -48 + 6 + 8x = 8x + -6(6 + -1x) Combine like terms: -48 + 6 = -42 -42 + 8x = 8x + -6(6 + -1x) -42 + 8x = 8x + (6 * -6 + -1x * -6) -42 + 8x = 8x + (-36 + 6x) Reorder the terms: -42 + 8x = -36 + 8x + 6x Combine like terms: 8x + 6x = 14x -42 + 8x = -36 + 14x Solving -42 + 8x = -36 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -42 + 8x + -14x = -36 + 14x + -14x Combine like terms: 8x + -14x = -6x -42 + -6x = -36 + 14x + -14x Combine like terms: 14x + -14x = 0 -42 + -6x = -36 + 0 -42 + -6x = -36 Add '42' to each side of the equation. -42 + 42 + -6x = -36 + 42 Combine like terms: -42 + 42 = 0 0 + -6x = -36 + 42 -6x = -36 + 42 Combine like terms: -36 + 42 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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