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Simplifying 7(3x + -1) + -4(3x + -8) = 4(2x + 3) + -3 Reorder the terms: 7(-1 + 3x) + -4(3x + -8) = 4(2x + 3) + -3 (-1 * 7 + 3x * 7) + -4(3x + -8) = 4(2x + 3) + -3 (-7 + 21x) + -4(3x + -8) = 4(2x + 3) + -3 Reorder the terms: -7 + 21x + -4(-8 + 3x) = 4(2x + 3) + -3 -7 + 21x + (-8 * -4 + 3x * -4) = 4(2x + 3) + -3 -7 + 21x + (32 + -12x) = 4(2x + 3) + -3 Reorder the terms: -7 + 32 + 21x + -12x = 4(2x + 3) + -3 Combine like terms: -7 + 32 = 25 25 + 21x + -12x = 4(2x + 3) + -3 Combine like terms: 21x + -12x = 9x 25 + 9x = 4(2x + 3) + -3 Reorder the terms: 25 + 9x = 4(3 + 2x) + -3 25 + 9x = (3 * 4 + 2x * 4) + -3 25 + 9x = (12 + 8x) + -3 Reorder the terms: 25 + 9x = 12 + -3 + 8x Combine like terms: 12 + -3 = 9 25 + 9x = 9 + 8x Solving 25 + 9x = 9 + 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 = 9 + 8x + -8x Combine like terms: 9x + -8x = 1x 25 + 1x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 25 + 1x = 9 + 0 25 + 1x = 9 Add '-25' to each side of the equation. 25 + -25 + 1x = 9 + -25 Combine like terms: 25 + -25 = 0 0 + 1x = 9 + -25 1x = 9 + -25 Combine like terms: 9 + -25 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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