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Simplifying 3(x + x + 2 + x + 4) + -5 = 8(x + 2) Reorder the terms: 3(2 + 4 + x + x + x) + -5 = 8(x + 2) Combine like terms: 2 + 4 = 6 3(6 + x + x + x) + -5 = 8(x + 2) Combine like terms: x + x = 2x 3(6 + 2x + x) + -5 = 8(x + 2) Combine like terms: 2x + x = 3x 3(6 + 3x) + -5 = 8(x + 2) (6 * 3 + 3x * 3) + -5 = 8(x + 2) (18 + 9x) + -5 = 8(x + 2) Reorder the terms: 18 + -5 + 9x = 8(x + 2) Combine like terms: 18 + -5 = 13 13 + 9x = 8(x + 2) Reorder the terms: 13 + 9x = 8(2 + x) 13 + 9x = (2 * 8 + x * 8) 13 + 9x = (16 + 8x) Solving 13 + 9x = 16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 13 + 9x + -8x = 16 + 8x + -8x Combine like terms: 9x + -8x = 1x 13 + 1x = 16 + 8x + -8x Combine like terms: 8x + -8x = 0 13 + 1x = 16 + 0 13 + 1x = 16 Add '-13' to each side of the equation. 13 + -13 + 1x = 16 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 16 + -13 1x = 16 + -13 Combine like terms: 16 + -13 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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