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Simplifying 8(2x + 6) = 15x + 13 Reorder the terms: 8(6 + 2x) = 15x + 13 (6 * 8 + 2x * 8) = 15x + 13 (48 + 16x) = 15x + 13 Reorder the terms: 48 + 16x = 13 + 15x Solving 48 + 16x = 13 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 48 + 16x + -15x = 13 + 15x + -15x Combine like terms: 16x + -15x = 1x 48 + 1x = 13 + 15x + -15x Combine like terms: 15x + -15x = 0 48 + 1x = 13 + 0 48 + 1x = 13 Add '-48' to each side of the equation. 48 + -48 + 1x = 13 + -48 Combine like terms: 48 + -48 = 0 0 + 1x = 13 + -48 1x = 13 + -48 Combine like terms: 13 + -48 = -35 1x = -35 Divide each side by '1'. x = -35 Simplifying x = -35
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