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Simplifying 6 = 10(x + -10) + 4 + -8x Reorder the terms: 6 = 10(-10 + x) + 4 + -8x 6 = (-10 * 10 + x * 10) + 4 + -8x 6 = (-100 + 10x) + 4 + -8x Reorder the terms: 6 = -100 + 4 + 10x + -8x Combine like terms: -100 + 4 = -96 6 = -96 + 10x + -8x Combine like terms: 10x + -8x = 2x 6 = -96 + 2x Solving 6 = -96 + 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. 6 + -2x = -96 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -2x = -96 + 0 6 + -2x = -96 Add '-6' to each side of the equation. 6 + -6 + -2x = -96 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -96 + -6 -2x = -96 + -6 Combine like terms: -96 + -6 = -102 -2x = -102 Divide each side by '-2'. x = 51 Simplifying x = 51
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