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Simplifying 2(x + 3) = 8(x + -2) + -20 Reorder the terms: 2(3 + x) = 8(x + -2) + -20 (3 * 2 + x * 2) = 8(x + -2) + -20 (6 + 2x) = 8(x + -2) + -20 Reorder the terms: 6 + 2x = 8(-2 + x) + -20 6 + 2x = (-2 * 8 + x * 8) + -20 6 + 2x = (-16 + 8x) + -20 Reorder the terms: 6 + 2x = -16 + -20 + 8x Combine like terms: -16 + -20 = -36 6 + 2x = -36 + 8x Solving 6 + 2x = -36 + 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. 6 + 2x + -8x = -36 + 8x + -8x Combine like terms: 2x + -8x = -6x 6 + -6x = -36 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -6x = -36 + 0 6 + -6x = -36 Add '-6' to each side of the equation. 6 + -6 + -6x = -36 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = -36 + -6 -6x = -36 + -6 Combine like terms: -36 + -6 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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