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Simplifying 4(4 + -2x) + 6x = 4(2x + -1) (4 * 4 + -2x * 4) + 6x = 4(2x + -1) (16 + -8x) + 6x = 4(2x + -1) Combine like terms: -8x + 6x = -2x 16 + -2x = 4(2x + -1) Reorder the terms: 16 + -2x = 4(-1 + 2x) 16 + -2x = (-1 * 4 + 2x * 4) 16 + -2x = (-4 + 8x) Solving 16 + -2x = -4 + 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. 16 + -2x + -8x = -4 + 8x + -8x Combine like terms: -2x + -8x = -10x 16 + -10x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 16 + -10x = -4 + 0 16 + -10x = -4 Add '-16' to each side of the equation. 16 + -16 + -10x = -4 + -16 Combine like terms: 16 + -16 = 0 0 + -10x = -4 + -16 -10x = -4 + -16 Combine like terms: -4 + -16 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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