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Simplifying (6x + 4) + (8x + 6) = 8(2x + 1) Reorder the terms: (4 + 6x) + (8x + 6) = 8(2x + 1) Remove parenthesis around (4 + 6x) 4 + 6x + (8x + 6) = 8(2x + 1) Reorder the terms: 4 + 6x + (6 + 8x) = 8(2x + 1) Remove parenthesis around (6 + 8x) 4 + 6x + 6 + 8x = 8(2x + 1) Reorder the terms: 4 + 6 + 6x + 8x = 8(2x + 1) Combine like terms: 4 + 6 = 10 10 + 6x + 8x = 8(2x + 1) Combine like terms: 6x + 8x = 14x 10 + 14x = 8(2x + 1) Reorder the terms: 10 + 14x = 8(1 + 2x) 10 + 14x = (1 * 8 + 2x * 8) 10 + 14x = (8 + 16x) Solving 10 + 14x = 8 + 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. 10 + 14x + -16x = 8 + 16x + -16x Combine like terms: 14x + -16x = -2x 10 + -2x = 8 + 16x + -16x Combine like terms: 16x + -16x = 0 10 + -2x = 8 + 0 10 + -2x = 8 Add '-10' to each side of the equation. 10 + -10 + -2x = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = 8 + -10 -2x = 8 + -10 Combine like terms: 8 + -10 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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