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Simplifying 7(2x + 3) + -8 = 15 + 6x + 14 Reorder the terms: 7(3 + 2x) + -8 = 15 + 6x + 14 (3 * 7 + 2x * 7) + -8 = 15 + 6x + 14 (21 + 14x) + -8 = 15 + 6x + 14 Reorder the terms: 21 + -8 + 14x = 15 + 6x + 14 Combine like terms: 21 + -8 = 13 13 + 14x = 15 + 6x + 14 Reorder the terms: 13 + 14x = 15 + 14 + 6x Combine like terms: 15 + 14 = 29 13 + 14x = 29 + 6x Solving 13 + 14x = 29 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 13 + 14x + -6x = 29 + 6x + -6x Combine like terms: 14x + -6x = 8x 13 + 8x = 29 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + 8x = 29 + 0 13 + 8x = 29 Add '-13' to each side of the equation. 13 + -13 + 8x = 29 + -13 Combine like terms: 13 + -13 = 0 0 + 8x = 29 + -13 8x = 29 + -13 Combine like terms: 29 + -13 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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