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Simplifying 6x + 10 = -2(1 + -4x) Reorder the terms: 10 + 6x = -2(1 + -4x) 10 + 6x = (1 * -2 + -4x * -2) 10 + 6x = (-2 + 8x) Solving 10 + 6x = -2 + 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. 10 + 6x + -8x = -2 + 8x + -8x Combine like terms: 6x + -8x = -2x 10 + -2x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -2x = -2 + 0 10 + -2x = -2 Add '-10' to each side of the equation. 10 + -10 + -2x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -2 + -10 -2x = -2 + -10 Combine like terms: -2 + -10 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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