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Simplifying 7(3x + -4) + 4(11 + -2x) = 4(3x + 3) + -2 Reorder the terms: 7(-4 + 3x) + 4(11 + -2x) = 4(3x + 3) + -2 (-4 * 7 + 3x * 7) + 4(11 + -2x) = 4(3x + 3) + -2 (-28 + 21x) + 4(11 + -2x) = 4(3x + 3) + -2 -28 + 21x + (11 * 4 + -2x * 4) = 4(3x + 3) + -2 -28 + 21x + (44 + -8x) = 4(3x + 3) + -2 Reorder the terms: -28 + 44 + 21x + -8x = 4(3x + 3) + -2 Combine like terms: -28 + 44 = 16 16 + 21x + -8x = 4(3x + 3) + -2 Combine like terms: 21x + -8x = 13x 16 + 13x = 4(3x + 3) + -2 Reorder the terms: 16 + 13x = 4(3 + 3x) + -2 16 + 13x = (3 * 4 + 3x * 4) + -2 16 + 13x = (12 + 12x) + -2 Reorder the terms: 16 + 13x = 12 + -2 + 12x Combine like terms: 12 + -2 = 10 16 + 13x = 10 + 12x Solving 16 + 13x = 10 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 16 + 13x + -12x = 10 + 12x + -12x Combine like terms: 13x + -12x = 1x 16 + 1x = 10 + 12x + -12x Combine like terms: 12x + -12x = 0 16 + 1x = 10 + 0 16 + 1x = 10 Add '-16' to each side of the equation. 16 + -16 + 1x = 10 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 10 + -16 1x = 10 + -16 Combine like terms: 10 + -16 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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