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Simplifying 3x + 4 + -1(4x + -7) = 10 Reorder the terms: 3x + 4 + -1(-7 + 4x) = 10 3x + 4 + (-7 * -1 + 4x * -1) = 10 3x + 4 + (7 + -4x) = 10 Reorder the terms: 4 + 7 + 3x + -4x = 10 Combine like terms: 4 + 7 = 11 11 + 3x + -4x = 10 Combine like terms: 3x + -4x = -1x 11 + -1x = 10 Solving 11 + -1x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 10 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 10 + -11 -1x = 10 + -11 Combine like terms: 10 + -11 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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