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Simplifying 7(3x + -5) + 3(16 + -4x) = 4(2x + 5) + -11 Reorder the terms: 7(-5 + 3x) + 3(16 + -4x) = 4(2x + 5) + -11 (-5 * 7 + 3x * 7) + 3(16 + -4x) = 4(2x + 5) + -11 (-35 + 21x) + 3(16 + -4x) = 4(2x + 5) + -11 -35 + 21x + (16 * 3 + -4x * 3) = 4(2x + 5) + -11 -35 + 21x + (48 + -12x) = 4(2x + 5) + -11 Reorder the terms: -35 + 48 + 21x + -12x = 4(2x + 5) + -11 Combine like terms: -35 + 48 = 13 13 + 21x + -12x = 4(2x + 5) + -11 Combine like terms: 21x + -12x = 9x 13 + 9x = 4(2x + 5) + -11 Reorder the terms: 13 + 9x = 4(5 + 2x) + -11 13 + 9x = (5 * 4 + 2x * 4) + -11 13 + 9x = (20 + 8x) + -11 Reorder the terms: 13 + 9x = 20 + -11 + 8x Combine like terms: 20 + -11 = 9 13 + 9x = 9 + 8x Solving 13 + 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. 13 + 9x + -8x = 9 + 8x + -8x Combine like terms: 9x + -8x = 1x 13 + 1x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 13 + 1x = 9 + 0 13 + 1x = 9 Add '-13' to each side of the equation. 13 + -13 + 1x = 9 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 9 + -13 1x = 9 + -13 Combine like terms: 9 + -13 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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