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Simplifying 7(3x + -3) + 4(11 + -3x) = 4(2x + 1) + -2 Reorder the terms: 7(-3 + 3x) + 4(11 + -3x) = 4(2x + 1) + -2 (-3 * 7 + 3x * 7) + 4(11 + -3x) = 4(2x + 1) + -2 (-21 + 21x) + 4(11 + -3x) = 4(2x + 1) + -2 -21 + 21x + (11 * 4 + -3x * 4) = 4(2x + 1) + -2 -21 + 21x + (44 + -12x) = 4(2x + 1) + -2 Reorder the terms: -21 + 44 + 21x + -12x = 4(2x + 1) + -2 Combine like terms: -21 + 44 = 23 23 + 21x + -12x = 4(2x + 1) + -2 Combine like terms: 21x + -12x = 9x 23 + 9x = 4(2x + 1) + -2 Reorder the terms: 23 + 9x = 4(1 + 2x) + -2 23 + 9x = (1 * 4 + 2x * 4) + -2 23 + 9x = (4 + 8x) + -2 Reorder the terms: 23 + 9x = 4 + -2 + 8x Combine like terms: 4 + -2 = 2 23 + 9x = 2 + 8x Solving 23 + 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. 23 + 9x + -8x = 2 + 8x + -8x Combine like terms: 9x + -8x = 1x 23 + 1x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 23 + 1x = 2 + 0 23 + 1x = 2 Add '-23' to each side of the equation. 23 + -23 + 1x = 2 + -23 Combine like terms: 23 + -23 = 0 0 + 1x = 2 + -23 1x = 2 + -23 Combine like terms: 2 + -23 = -21 1x = -21 Divide each side by '1'. x = -21 Simplifying x = -21
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