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Simplifying 7(4x + -3) + 3(13 + -4x) = 3(5x + 4) + -11 Reorder the terms: 7(-3 + 4x) + 3(13 + -4x) = 3(5x + 4) + -11 (-3 * 7 + 4x * 7) + 3(13 + -4x) = 3(5x + 4) + -11 (-21 + 28x) + 3(13 + -4x) = 3(5x + 4) + -11 -21 + 28x + (13 * 3 + -4x * 3) = 3(5x + 4) + -11 -21 + 28x + (39 + -12x) = 3(5x + 4) + -11 Reorder the terms: -21 + 39 + 28x + -12x = 3(5x + 4) + -11 Combine like terms: -21 + 39 = 18 18 + 28x + -12x = 3(5x + 4) + -11 Combine like terms: 28x + -12x = 16x 18 + 16x = 3(5x + 4) + -11 Reorder the terms: 18 + 16x = 3(4 + 5x) + -11 18 + 16x = (4 * 3 + 5x * 3) + -11 18 + 16x = (12 + 15x) + -11 Reorder the terms: 18 + 16x = 12 + -11 + 15x Combine like terms: 12 + -11 = 1 18 + 16x = 1 + 15x Solving 18 + 16x = 1 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 18 + 16x + -15x = 1 + 15x + -15x Combine like terms: 16x + -15x = 1x 18 + 1x = 1 + 15x + -15x Combine like terms: 15x + -15x = 0 18 + 1x = 1 + 0 18 + 1x = 1 Add '-18' to each side of the equation. 18 + -18 + 1x = 1 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 1 + -18 1x = 1 + -18 Combine like terms: 1 + -18 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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