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Simplifying 7(6x + 5) + -3(3x + -4) = 4x + 5 Reorder the terms: 7(5 + 6x) + -3(3x + -4) = 4x + 5 (5 * 7 + 6x * 7) + -3(3x + -4) = 4x + 5 (35 + 42x) + -3(3x + -4) = 4x + 5 Reorder the terms: 35 + 42x + -3(-4 + 3x) = 4x + 5 35 + 42x + (-4 * -3 + 3x * -3) = 4x + 5 35 + 42x + (12 + -9x) = 4x + 5 Reorder the terms: 35 + 12 + 42x + -9x = 4x + 5 Combine like terms: 35 + 12 = 47 47 + 42x + -9x = 4x + 5 Combine like terms: 42x + -9x = 33x 47 + 33x = 4x + 5 Reorder the terms: 47 + 33x = 5 + 4x Solving 47 + 33x = 5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 47 + 33x + -4x = 5 + 4x + -4x Combine like terms: 33x + -4x = 29x 47 + 29x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 47 + 29x = 5 + 0 47 + 29x = 5 Add '-47' to each side of the equation. 47 + -47 + 29x = 5 + -47 Combine like terms: 47 + -47 = 0 0 + 29x = 5 + -47 29x = 5 + -47 Combine like terms: 5 + -47 = -42 29x = -42 Divide each side by '29'. x = -1.448275862 Simplifying x = -1.448275862
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