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Simplifying 8x + -2(x + -2) = x + 3(4x + -1) Reorder the terms: 8x + -2(-2 + x) = x + 3(4x + -1) 8x + (-2 * -2 + x * -2) = x + 3(4x + -1) 8x + (4 + -2x) = x + 3(4x + -1) Reorder the terms: 4 + 8x + -2x = x + 3(4x + -1) Combine like terms: 8x + -2x = 6x 4 + 6x = x + 3(4x + -1) Reorder the terms: 4 + 6x = x + 3(-1 + 4x) 4 + 6x = x + (-1 * 3 + 4x * 3) 4 + 6x = x + (-3 + 12x) Reorder the terms: 4 + 6x = -3 + x + 12x Combine like terms: x + 12x = 13x 4 + 6x = -3 + 13x Solving 4 + 6x = -3 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 4 + 6x + -13x = -3 + 13x + -13x Combine like terms: 6x + -13x = -7x 4 + -7x = -3 + 13x + -13x Combine like terms: 13x + -13x = 0 4 + -7x = -3 + 0 4 + -7x = -3 Add '-4' to each side of the equation. 4 + -4 + -7x = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = -3 + -4 -7x = -3 + -4 Combine like terms: -3 + -4 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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