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Simplifying 7(3x + -3) + -4(3x + -15) = 2(4x + 5) + -3 Reorder the terms: 7(-3 + 3x) + -4(3x + -15) = 2(4x + 5) + -3 (-3 * 7 + 3x * 7) + -4(3x + -15) = 2(4x + 5) + -3 (-21 + 21x) + -4(3x + -15) = 2(4x + 5) + -3 Reorder the terms: -21 + 21x + -4(-15 + 3x) = 2(4x + 5) + -3 -21 + 21x + (-15 * -4 + 3x * -4) = 2(4x + 5) + -3 -21 + 21x + (60 + -12x) = 2(4x + 5) + -3 Reorder the terms: -21 + 60 + 21x + -12x = 2(4x + 5) + -3 Combine like terms: -21 + 60 = 39 39 + 21x + -12x = 2(4x + 5) + -3 Combine like terms: 21x + -12x = 9x 39 + 9x = 2(4x + 5) + -3 Reorder the terms: 39 + 9x = 2(5 + 4x) + -3 39 + 9x = (5 * 2 + 4x * 2) + -3 39 + 9x = (10 + 8x) + -3 Reorder the terms: 39 + 9x = 10 + -3 + 8x Combine like terms: 10 + -3 = 7 39 + 9x = 7 + 8x Solving 39 + 9x = 7 + 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. 39 + 9x + -8x = 7 + 8x + -8x Combine like terms: 9x + -8x = 1x 39 + 1x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 39 + 1x = 7 + 0 39 + 1x = 7 Add '-39' to each side of the equation. 39 + -39 + 1x = 7 + -39 Combine like terms: 39 + -39 = 0 0 + 1x = 7 + -39 1x = 7 + -39 Combine like terms: 7 + -39 = -32 1x = -32 Divide each side by '1'. x = -32 Simplifying x = -32
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