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Simplifying 6x + 10 = -2(3 + x) Reorder the terms: 10 + 6x = -2(3 + x) 10 + 6x = (3 * -2 + x * -2) 10 + 6x = (-6 + -2x) Solving 10 + 6x = -6 + -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. 10 + 6x + 2x = -6 + -2x + 2x Combine like terms: 6x + 2x = 8x 10 + 8x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 8x = -6 + 0 10 + 8x = -6 Add '-10' to each side of the equation. 10 + -10 + 8x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = -6 + -10 8x = -6 + -10 Combine like terms: -6 + -10 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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