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Simplifying 6(6x + -3) + -5(3x + -13) = 4(5x + 5) + -4 Reorder the terms: 6(-3 + 6x) + -5(3x + -13) = 4(5x + 5) + -4 (-3 * 6 + 6x * 6) + -5(3x + -13) = 4(5x + 5) + -4 (-18 + 36x) + -5(3x + -13) = 4(5x + 5) + -4 Reorder the terms: -18 + 36x + -5(-13 + 3x) = 4(5x + 5) + -4 -18 + 36x + (-13 * -5 + 3x * -5) = 4(5x + 5) + -4 -18 + 36x + (65 + -15x) = 4(5x + 5) + -4 Reorder the terms: -18 + 65 + 36x + -15x = 4(5x + 5) + -4 Combine like terms: -18 + 65 = 47 47 + 36x + -15x = 4(5x + 5) + -4 Combine like terms: 36x + -15x = 21x 47 + 21x = 4(5x + 5) + -4 Reorder the terms: 47 + 21x = 4(5 + 5x) + -4 47 + 21x = (5 * 4 + 5x * 4) + -4 47 + 21x = (20 + 20x) + -4 Reorder the terms: 47 + 21x = 20 + -4 + 20x Combine like terms: 20 + -4 = 16 47 + 21x = 16 + 20x Solving 47 + 21x = 16 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 47 + 21x + -20x = 16 + 20x + -20x Combine like terms: 21x + -20x = 1x 47 + 1x = 16 + 20x + -20x Combine like terms: 20x + -20x = 0 47 + 1x = 16 + 0 47 + 1x = 16 Add '-47' to each side of the equation. 47 + -47 + 1x = 16 + -47 Combine like terms: 47 + -47 = 0 0 + 1x = 16 + -47 1x = 16 + -47 Combine like terms: 16 + -47 = -31 1x = -31 Divide each side by '1'. x = -31 Simplifying x = -31
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