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Simplifying 8(2x + 6) = (2x + 6) Reorder the terms: 8(6 + 2x) = (2x + 6) (6 * 8 + 2x * 8) = (2x + 6) (48 + 16x) = (2x + 6) Reorder the terms: 48 + 16x = (6 + 2x) Remove parenthesis around (6 + 2x) 48 + 16x = 6 + 2x Solving 48 + 16x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 48 + 16x + -2x = 6 + 2x + -2x Combine like terms: 16x + -2x = 14x 48 + 14x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 48 + 14x = 6 + 0 48 + 14x = 6 Add '-48' to each side of the equation. 48 + -48 + 14x = 6 + -48 Combine like terms: 48 + -48 = 0 0 + 14x = 6 + -48 14x = 6 + -48 Combine like terms: 6 + -48 = -42 14x = -42 Divide each side by '14'. x = -3 Simplifying x = -3
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