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Simplifying -4(2x + -1) + 6x = 3 + 4(2x + -1) Reorder the terms: -4(-1 + 2x) + 6x = 3 + 4(2x + -1) (-1 * -4 + 2x * -4) + 6x = 3 + 4(2x + -1) (4 + -8x) + 6x = 3 + 4(2x + -1) Combine like terms: -8x + 6x = -2x 4 + -2x = 3 + 4(2x + -1) Reorder the terms: 4 + -2x = 3 + 4(-1 + 2x) 4 + -2x = 3 + (-1 * 4 + 2x * 4) 4 + -2x = 3 + (-4 + 8x) Combine like terms: 3 + -4 = -1 4 + -2x = -1 + 8x Solving 4 + -2x = -1 + 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. 4 + -2x + -8x = -1 + 8x + -8x Combine like terms: -2x + -8x = -10x 4 + -10x = -1 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -10x = -1 + 0 4 + -10x = -1 Add '-4' to each side of the equation. 4 + -4 + -10x = -1 + -4 Combine like terms: 4 + -4 = 0 0 + -10x = -1 + -4 -10x = -1 + -4 Combine like terms: -1 + -4 = -5 -10x = -5 Divide each side by '-10'. x = 0.5 Simplifying x = 0.5
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