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Simplifying -102 = -6 + 8(6x + -6) Reorder the terms: -102 = -6 + 8(-6 + 6x) -102 = -6 + (-6 * 8 + 6x * 8) -102 = -6 + (-48 + 48x) Combine like terms: -6 + -48 = -54 -102 = -54 + 48x Solving -102 = -54 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -102 + -48x = -54 + 48x + -48x Combine like terms: 48x + -48x = 0 -102 + -48x = -54 + 0 -102 + -48x = -54 Add '102' to each side of the equation. -102 + 102 + -48x = -54 + 102 Combine like terms: -102 + 102 = 0 0 + -48x = -54 + 102 -48x = -54 + 102 Combine like terms: -54 + 102 = 48 -48x = 48 Divide each side by '-48'. x = -1 Simplifying x = -1
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