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Simplifying 4(x + 8) + -3x + 7(2x + -1) = 34 Reorder the terms: 4(8 + x) + -3x + 7(2x + -1) = 34 (8 * 4 + x * 4) + -3x + 7(2x + -1) = 34 (32 + 4x) + -3x + 7(2x + -1) = 34 Reorder the terms: 32 + 4x + -3x + 7(-1 + 2x) = 34 32 + 4x + -3x + (-1 * 7 + 2x * 7) = 34 32 + 4x + -3x + (-7 + 14x) = 34 Reorder the terms: 32 + -7 + 4x + -3x + 14x = 34 Combine like terms: 32 + -7 = 25 25 + 4x + -3x + 14x = 34 Combine like terms: 4x + -3x = 1x 25 + 1x + 14x = 34 Combine like terms: 1x + 14x = 15x 25 + 15x = 34 Solving 25 + 15x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 15x = 34 + -25 Combine like terms: 25 + -25 = 0 0 + 15x = 34 + -25 15x = 34 + -25 Combine like terms: 34 + -25 = 9 15x = 9 Divide each side by '15'. x = 0.6 Simplifying x = 0.6
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