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Simplifying 4(2x + -5) + -10 = 10x + 6 + -8x Reorder the terms: 4(-5 + 2x) + -10 = 10x + 6 + -8x (-5 * 4 + 2x * 4) + -10 = 10x + 6 + -8x (-20 + 8x) + -10 = 10x + 6 + -8x Reorder the terms: -20 + -10 + 8x = 10x + 6 + -8x Combine like terms: -20 + -10 = -30 -30 + 8x = 10x + 6 + -8x Reorder the terms: -30 + 8x = 6 + 10x + -8x Combine like terms: 10x + -8x = 2x -30 + 8x = 6 + 2x Solving -30 + 8x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -30 + 8x + -2x = 6 + 2x + -2x Combine like terms: 8x + -2x = 6x -30 + 6x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + 6x = 6 + 0 -30 + 6x = 6 Add '30' to each side of the equation. -30 + 30 + 6x = 6 + 30 Combine like terms: -30 + 30 = 0 0 + 6x = 6 + 30 6x = 6 + 30 Combine like terms: 6 + 30 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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