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Simplifying 6x + 8(x + 6) = 8(2 + 2x) Reorder the terms: 6x + 8(6 + x) = 8(2 + 2x) 6x + (6 * 8 + x * 8) = 8(2 + 2x) 6x + (48 + 8x) = 8(2 + 2x) Reorder the terms: 48 + 6x + 8x = 8(2 + 2x) Combine like terms: 6x + 8x = 14x 48 + 14x = 8(2 + 2x) 48 + 14x = (2 * 8 + 2x * 8) 48 + 14x = (16 + 16x) Solving 48 + 14x = 16 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 48 + 14x + -16x = 16 + 16x + -16x Combine like terms: 14x + -16x = -2x 48 + -2x = 16 + 16x + -16x Combine like terms: 16x + -16x = 0 48 + -2x = 16 + 0 48 + -2x = 16 Add '-48' to each side of the equation. 48 + -48 + -2x = 16 + -48 Combine like terms: 48 + -48 = 0 0 + -2x = 16 + -48 -2x = 16 + -48 Combine like terms: 16 + -48 = -32 -2x = -32 Divide each side by '-2'. x = 16 Simplifying x = 16
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