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Simplifying 7x + -4[2x + -3(5x + -4)] = 34 Reorder the terms: 7x + -4[2x + -3(-4 + 5x)] = 34 7x + -4[2x + (-4 * -3 + 5x * -3)] = 34 7x + -4[2x + (12 + -15x)] = 34 Reorder the terms: 7x + -4[12 + 2x + -15x] = 34 Combine like terms: 2x + -15x = -13x 7x + -4[12 + -13x] = 34 7x + [12 * -4 + -13x * -4] = 34 7x + [-48 + 52x] = 34 Reorder the terms: -48 + 7x + 52x = 34 Combine like terms: 7x + 52x = 59x -48 + 59x = 34 Solving -48 + 59x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 59x = 34 + 48 Combine like terms: -48 + 48 = 0 0 + 59x = 34 + 48 59x = 34 + 48 Combine like terms: 34 + 48 = 82 59x = 82 Divide each side by '59'. x = 1.389830508 Simplifying x = 1.389830508
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