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Simplifying 21(x + -8) + 90 = 6(5x + -7) + -35 Reorder the terms: 21(-8 + x) + 90 = 6(5x + -7) + -35 (-8 * 21 + x * 21) + 90 = 6(5x + -7) + -35 (-168 + 21x) + 90 = 6(5x + -7) + -35 Reorder the terms: -168 + 90 + 21x = 6(5x + -7) + -35 Combine like terms: -168 + 90 = -78 -78 + 21x = 6(5x + -7) + -35 Reorder the terms: -78 + 21x = 6(-7 + 5x) + -35 -78 + 21x = (-7 * 6 + 5x * 6) + -35 -78 + 21x = (-42 + 30x) + -35 Reorder the terms: -78 + 21x = -42 + -35 + 30x Combine like terms: -42 + -35 = -77 -78 + 21x = -77 + 30x Solving -78 + 21x = -77 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -78 + 21x + -30x = -77 + 30x + -30x Combine like terms: 21x + -30x = -9x -78 + -9x = -77 + 30x + -30x Combine like terms: 30x + -30x = 0 -78 + -9x = -77 + 0 -78 + -9x = -77 Add '78' to each side of the equation. -78 + 78 + -9x = -77 + 78 Combine like terms: -78 + 78 = 0 0 + -9x = -77 + 78 -9x = -77 + 78 Combine like terms: -77 + 78 = 1 -9x = 1 Divide each side by '-9'. x = -0.1111111111 Simplifying x = -0.1111111111
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