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Simplifying 4(5x + -1) + 6 = 7 + 7x Reorder the terms: 4(-1 + 5x) + 6 = 7 + 7x (-1 * 4 + 5x * 4) + 6 = 7 + 7x (-4 + 20x) + 6 = 7 + 7x Reorder the terms: -4 + 6 + 20x = 7 + 7x Combine like terms: -4 + 6 = 2 2 + 20x = 7 + 7x Solving 2 + 20x = 7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + 20x + -7x = 7 + 7x + -7x Combine like terms: 20x + -7x = 13x 2 + 13x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + 13x = 7 + 0 2 + 13x = 7 Add '-2' to each side of the equation. 2 + -2 + 13x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = 7 + -2 13x = 7 + -2 Combine like terms: 7 + -2 = 5 13x = 5 Divide each side by '13'. x = 0.3846153846 Simplifying x = 0.3846153846
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