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Simplifying 6x + 4(-2x + 8y) + -2y + 4 = -6x + -8 + 32y + -2y + 4 6x + (-2x * 4 + 8y * 4) + -2y + 4 = -6x + -8 + 32y + -2y + 4 6x + (-8x + 32y) + -2y + 4 = -6x + -8 + 32y + -2y + 4 Reorder the terms: 4 + 6x + -8x + 32y + -2y = -6x + -8 + 32y + -2y + 4 Combine like terms: 6x + -8x = -2x 4 + -2x + 32y + -2y = -6x + -8 + 32y + -2y + 4 Combine like terms: 32y + -2y = 30y 4 + -2x + 30y = -6x + -8 + 32y + -2y + 4 Reorder the terms: 4 + -2x + 30y = -8 + 4 + -6x + 32y + -2y Combine like terms: -8 + 4 = -4 4 + -2x + 30y = -4 + -6x + 32y + -2y Combine like terms: 32y + -2y = 30y 4 + -2x + 30y = -4 + -6x + 30y Add '-30y' to each side of the equation. 4 + -2x + 30y + -30y = -4 + -6x + 30y + -30y Combine like terms: 30y + -30y = 0 4 + -2x + 0 = -4 + -6x + 30y + -30y 4 + -2x = -4 + -6x + 30y + -30y Combine like terms: 30y + -30y = 0 4 + -2x = -4 + -6x + 0 4 + -2x = -4 + -6x Solving 4 + -2x = -4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 4 + -2x + 6x = -4 + -6x + 6x Combine like terms: -2x + 6x = 4x 4 + 4x = -4 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 4x = -4 + 0 4 + 4x = -4 Add '-4' to each side of the equation. 4 + -4 + 4x = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = -4 + -4 4x = -4 + -4 Combine like terms: -4 + -4 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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