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Simplifying 3(7x + -5) + -4(3x + -10) = 8x + 4 Reorder the terms: 3(-5 + 7x) + -4(3x + -10) = 8x + 4 (-5 * 3 + 7x * 3) + -4(3x + -10) = 8x + 4 (-15 + 21x) + -4(3x + -10) = 8x + 4 Reorder the terms: -15 + 21x + -4(-10 + 3x) = 8x + 4 -15 + 21x + (-10 * -4 + 3x * -4) = 8x + 4 -15 + 21x + (40 + -12x) = 8x + 4 Reorder the terms: -15 + 40 + 21x + -12x = 8x + 4 Combine like terms: -15 + 40 = 25 25 + 21x + -12x = 8x + 4 Combine like terms: 21x + -12x = 9x 25 + 9x = 8x + 4 Reorder the terms: 25 + 9x = 4 + 8x Solving 25 + 9x = 4 + 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. 25 + 9x + -8x = 4 + 8x + -8x Combine like terms: 9x + -8x = 1x 25 + 1x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 25 + 1x = 4 + 0 25 + 1x = 4 Add '-25' to each side of the equation. 25 + -25 + 1x = 4 + -25 Combine like terms: 25 + -25 = 0 0 + 1x = 4 + -25 1x = 4 + -25 Combine like terms: 4 + -25 = -21 1x = -21 Divide each side by '1'. x = -21 Simplifying x = -21
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