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Simplifying 6(x + 10) + 2 = -2(x + -3) + -8 Reorder the terms: 6(10 + x) + 2 = -2(x + -3) + -8 (10 * 6 + x * 6) + 2 = -2(x + -3) + -8 (60 + 6x) + 2 = -2(x + -3) + -8 Reorder the terms: 60 + 2 + 6x = -2(x + -3) + -8 Combine like terms: 60 + 2 = 62 62 + 6x = -2(x + -3) + -8 Reorder the terms: 62 + 6x = -2(-3 + x) + -8 62 + 6x = (-3 * -2 + x * -2) + -8 62 + 6x = (6 + -2x) + -8 Reorder the terms: 62 + 6x = 6 + -8 + -2x Combine like terms: 6 + -8 = -2 62 + 6x = -2 + -2x Solving 62 + 6x = -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. 62 + 6x + 2x = -2 + -2x + 2x Combine like terms: 6x + 2x = 8x 62 + 8x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 62 + 8x = -2 + 0 62 + 8x = -2 Add '-62' to each side of the equation. 62 + -62 + 8x = -2 + -62 Combine like terms: 62 + -62 = 0 0 + 8x = -2 + -62 8x = -2 + -62 Combine like terms: -2 + -62 = -64 8x = -64 Divide each side by '8'. x = -8 Simplifying x = -8
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