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Simplifying 7(3x + -3) + -3(4x + -15) = 2(4x + 4) + -6 Reorder the terms: 7(-3 + 3x) + -3(4x + -15) = 2(4x + 4) + -6 (-3 * 7 + 3x * 7) + -3(4x + -15) = 2(4x + 4) + -6 (-21 + 21x) + -3(4x + -15) = 2(4x + 4) + -6 Reorder the terms: -21 + 21x + -3(-15 + 4x) = 2(4x + 4) + -6 -21 + 21x + (-15 * -3 + 4x * -3) = 2(4x + 4) + -6 -21 + 21x + (45 + -12x) = 2(4x + 4) + -6 Reorder the terms: -21 + 45 + 21x + -12x = 2(4x + 4) + -6 Combine like terms: -21 + 45 = 24 24 + 21x + -12x = 2(4x + 4) + -6 Combine like terms: 21x + -12x = 9x 24 + 9x = 2(4x + 4) + -6 Reorder the terms: 24 + 9x = 2(4 + 4x) + -6 24 + 9x = (4 * 2 + 4x * 2) + -6 24 + 9x = (8 + 8x) + -6 Reorder the terms: 24 + 9x = 8 + -6 + 8x Combine like terms: 8 + -6 = 2 24 + 9x = 2 + 8x Solving 24 + 9x = 2 + 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. 24 + 9x + -8x = 2 + 8x + -8x Combine like terms: 9x + -8x = 1x 24 + 1x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + 1x = 2 + 0 24 + 1x = 2 Add '-24' to each side of the equation. 24 + -24 + 1x = 2 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 2 + -24 1x = 2 + -24 Combine like terms: 2 + -24 = -22 1x = -22 Divide each side by '1'. x = -22 Simplifying x = -22
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