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Simplifying 6 + -2(4x + 1) = 3x + -2(2x + 10) Reorder the terms: 6 + -2(1 + 4x) = 3x + -2(2x + 10) 6 + (1 * -2 + 4x * -2) = 3x + -2(2x + 10) 6 + (-2 + -8x) = 3x + -2(2x + 10) Combine like terms: 6 + -2 = 4 4 + -8x = 3x + -2(2x + 10) Reorder the terms: 4 + -8x = 3x + -2(10 + 2x) 4 + -8x = 3x + (10 * -2 + 2x * -2) 4 + -8x = 3x + (-20 + -4x) Reorder the terms: 4 + -8x = -20 + 3x + -4x Combine like terms: 3x + -4x = -1x 4 + -8x = -20 + -1x Solving 4 + -8x = -20 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4 + -8x + x = -20 + -1x + x Combine like terms: -8x + x = -7x 4 + -7x = -20 + -1x + x Combine like terms: -1x + x = 0 4 + -7x = -20 + 0 4 + -7x = -20 Add '-4' to each side of the equation. 4 + -4 + -7x = -20 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = -20 + -4 -7x = -20 + -4 Combine like terms: -20 + -4 = -24 -7x = -24 Divide each side by '-7'. x = 3.428571429 Simplifying x = 3.428571429
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