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Simplifying 2x + 8 = 7 + -2(3x + -6) Reorder the terms: 8 + 2x = 7 + -2(3x + -6) Reorder the terms: 8 + 2x = 7 + -2(-6 + 3x) 8 + 2x = 7 + (-6 * -2 + 3x * -2) 8 + 2x = 7 + (12 + -6x) Combine like terms: 7 + 12 = 19 8 + 2x = 19 + -6x Solving 8 + 2x = 19 + -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. 8 + 2x + 6x = 19 + -6x + 6x Combine like terms: 2x + 6x = 8x 8 + 8x = 19 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 8x = 19 + 0 8 + 8x = 19 Add '-8' to each side of the equation. 8 + -8 + 8x = 19 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 19 + -8 8x = 19 + -8 Combine like terms: 19 + -8 = 11 8x = 11 Divide each side by '8'. x = 1.375 Simplifying x = 1.375
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