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Simplifying 8 + -2(4x + -1) + 2x = 4 + 4(6 + -3x) Reorder the terms: 8 + -2(-1 + 4x) + 2x = 4 + 4(6 + -3x) 8 + (-1 * -2 + 4x * -2) + 2x = 4 + 4(6 + -3x) 8 + (2 + -8x) + 2x = 4 + 4(6 + -3x) Combine like terms: 8 + 2 = 10 10 + -8x + 2x = 4 + 4(6 + -3x) Combine like terms: -8x + 2x = -6x 10 + -6x = 4 + 4(6 + -3x) 10 + -6x = 4 + (6 * 4 + -3x * 4) 10 + -6x = 4 + (24 + -12x) Combine like terms: 4 + 24 = 28 10 + -6x = 28 + -12x Solving 10 + -6x = 28 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 10 + -6x + 12x = 28 + -12x + 12x Combine like terms: -6x + 12x = 6x 10 + 6x = 28 + -12x + 12x Combine like terms: -12x + 12x = 0 10 + 6x = 28 + 0 10 + 6x = 28 Add '-10' to each side of the equation. 10 + -10 + 6x = 28 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = 28 + -10 6x = 28 + -10 Combine like terms: 28 + -10 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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