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Simplifying 10(3 + -1x) + -4(6 + -8x) + (6 + -15x) = 26 (3 * 10 + -1x * 10) + -4(6 + -8x) + (6 + -15x) = 26 (30 + -10x) + -4(6 + -8x) + (6 + -15x) = 26 30 + -10x + (6 * -4 + -8x * -4) + (6 + -15x) = 26 30 + -10x + (-24 + 32x) + (6 + -15x) = 26 Remove parenthesis around (6 + -15x) 30 + -10x + -24 + 32x + 6 + -15x = 26 Reorder the terms: 30 + -24 + 6 + -10x + 32x + -15x = 26 Combine like terms: 30 + -24 = 6 6 + 6 + -10x + 32x + -15x = 26 Combine like terms: 6 + 6 = 12 12 + -10x + 32x + -15x = 26 Combine like terms: -10x + 32x = 22x 12 + 22x + -15x = 26 Combine like terms: 22x + -15x = 7x 12 + 7x = 26 Solving 12 + 7x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 7x = 26 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 26 + -12 7x = 26 + -12 Combine like terms: 26 + -12 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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