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Simplifying 2(x + -7) + 3(x + -1) = 4x Reorder the terms: 2(-7 + x) + 3(x + -1) = 4x (-7 * 2 + x * 2) + 3(x + -1) = 4x (-14 + 2x) + 3(x + -1) = 4x Reorder the terms: -14 + 2x + 3(-1 + x) = 4x -14 + 2x + (-1 * 3 + x * 3) = 4x -14 + 2x + (-3 + 3x) = 4x Reorder the terms: -14 + -3 + 2x + 3x = 4x Combine like terms: -14 + -3 = -17 -17 + 2x + 3x = 4x Combine like terms: 2x + 3x = 5x -17 + 5x = 4x Solving -17 + 5x = 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. -17 + 5x + -4x = 4x + -4x Combine like terms: 5x + -4x = 1x -17 + 1x = 4x + -4x Combine like terms: 4x + -4x = 0 -17 + 1x = 0 Add '17' to each side of the equation. -17 + 17 + 1x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 1x = 0 + 17 1x = 0 + 17 Combine like terms: 0 + 17 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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