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Simplifying 3(4x + -3) + -7(13x + -8) = 7 Reorder the terms: 3(-3 + 4x) + -7(13x + -8) = 7 (-3 * 3 + 4x * 3) + -7(13x + -8) = 7 (-9 + 12x) + -7(13x + -8) = 7 Reorder the terms: -9 + 12x + -7(-8 + 13x) = 7 -9 + 12x + (-8 * -7 + 13x * -7) = 7 -9 + 12x + (56 + -91x) = 7 Reorder the terms: -9 + 56 + 12x + -91x = 7 Combine like terms: -9 + 56 = 47 47 + 12x + -91x = 7 Combine like terms: 12x + -91x = -79x 47 + -79x = 7 Solving 47 + -79x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + -79x = 7 + -47 Combine like terms: 47 + -47 = 0 0 + -79x = 7 + -47 -79x = 7 + -47 Combine like terms: 7 + -47 = -40 -79x = -40 Divide each side by '-79'. x = 0.5063291139 Simplifying x = 0.5063291139
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