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Simplifying 8(2x + -6) = x + 102 Reorder the terms: 8(-6 + 2x) = x + 102 (-6 * 8 + 2x * 8) = x + 102 (-48 + 16x) = x + 102 Reorder the terms: -48 + 16x = 102 + x Solving -48 + 16x = 102 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -48 + 16x + -1x = 102 + x + -1x Combine like terms: 16x + -1x = 15x -48 + 15x = 102 + x + -1x Combine like terms: x + -1x = 0 -48 + 15x = 102 + 0 -48 + 15x = 102 Add '48' to each side of the equation. -48 + 48 + 15x = 102 + 48 Combine like terms: -48 + 48 = 0 0 + 15x = 102 + 48 15x = 102 + 48 Combine like terms: 102 + 48 = 150 15x = 150 Divide each side by '15'. x = 10 Simplifying x = 10
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