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Simplifying 3(x + 7) = 4(2x + -5) + -10 Reorder the terms: 3(7 + x) = 4(2x + -5) + -10 (7 * 3 + x * 3) = 4(2x + -5) + -10 (21 + 3x) = 4(2x + -5) + -10 Reorder the terms: 21 + 3x = 4(-5 + 2x) + -10 21 + 3x = (-5 * 4 + 2x * 4) + -10 21 + 3x = (-20 + 8x) + -10 Reorder the terms: 21 + 3x = -20 + -10 + 8x Combine like terms: -20 + -10 = -30 21 + 3x = -30 + 8x Solving 21 + 3x = -30 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 21 + 3x + -8x = -30 + 8x + -8x Combine like terms: 3x + -8x = -5x 21 + -5x = -30 + 8x + -8x Combine like terms: 8x + -8x = 0 21 + -5x = -30 + 0 21 + -5x = -30 Add '-21' to each side of the equation. 21 + -21 + -5x = -30 + -21 Combine like terms: 21 + -21 = 0 0 + -5x = -30 + -21 -5x = -30 + -21 Combine like terms: -30 + -21 = -51 -5x = -51 Divide each side by '-5'. x = 10.2 Simplifying x = 10.2
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