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Simplifying 7(x + 6) + x = 4(4x + 4) + 6 Reorder the terms: 7(6 + x) + x = 4(4x + 4) + 6 (6 * 7 + x * 7) + x = 4(4x + 4) + 6 (42 + 7x) + x = 4(4x + 4) + 6 Combine like terms: 7x + x = 8x 42 + 8x = 4(4x + 4) + 6 Reorder the terms: 42 + 8x = 4(4 + 4x) + 6 42 + 8x = (4 * 4 + 4x * 4) + 6 42 + 8x = (16 + 16x) + 6 Reorder the terms: 42 + 8x = 16 + 6 + 16x Combine like terms: 16 + 6 = 22 42 + 8x = 22 + 16x Solving 42 + 8x = 22 + 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. 42 + 8x + -16x = 22 + 16x + -16x Combine like terms: 8x + -16x = -8x 42 + -8x = 22 + 16x + -16x Combine like terms: 16x + -16x = 0 42 + -8x = 22 + 0 42 + -8x = 22 Add '-42' to each side of the equation. 42 + -42 + -8x = 22 + -42 Combine like terms: 42 + -42 = 0 0 + -8x = 22 + -42 -8x = 22 + -42 Combine like terms: 22 + -42 = -20 -8x = -20 Divide each side by '-8'. x = 2.5 Simplifying x = 2.5
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