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Simplifying 8x + 6 = 15 + 2(3x + -3) Reorder the terms: 6 + 8x = 15 + 2(3x + -3) Reorder the terms: 6 + 8x = 15 + 2(-3 + 3x) 6 + 8x = 15 + (-3 * 2 + 3x * 2) 6 + 8x = 15 + (-6 + 6x) Combine like terms: 15 + -6 = 9 6 + 8x = 9 + 6x Solving 6 + 8x = 9 + 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. 6 + 8x + -6x = 9 + 6x + -6x Combine like terms: 8x + -6x = 2x 6 + 2x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 2x = 9 + 0 6 + 2x = 9 Add '-6' to each side of the equation. 6 + -6 + 2x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 9 + -6 2x = 9 + -6 Combine like terms: 9 + -6 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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