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Simplifying 8(x + 6) + x = 2(x + 3) + -8 Reorder the terms: 8(6 + x) + x = 2(x + 3) + -8 (6 * 8 + x * 8) + x = 2(x + 3) + -8 (48 + 8x) + x = 2(x + 3) + -8 Combine like terms: 8x + x = 9x 48 + 9x = 2(x + 3) + -8 Reorder the terms: 48 + 9x = 2(3 + x) + -8 48 + 9x = (3 * 2 + x * 2) + -8 48 + 9x = (6 + 2x) + -8 Reorder the terms: 48 + 9x = 6 + -8 + 2x Combine like terms: 6 + -8 = -2 48 + 9x = -2 + 2x Solving 48 + 9x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 48 + 9x + -2x = -2 + 2x + -2x Combine like terms: 9x + -2x = 7x 48 + 7x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 48 + 7x = -2 + 0 48 + 7x = -2 Add '-48' to each side of the equation. 48 + -48 + 7x = -2 + -48 Combine like terms: 48 + -48 = 0 0 + 7x = -2 + -48 7x = -2 + -48 Combine like terms: -2 + -48 = -50 7x = -50 Divide each side by '7'. x = -7.142857143 Simplifying x = -7.142857143
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