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Simplifying 2(x + -7) + 3x + -1 = 4x + 3 Reorder the terms: 2(-7 + x) + 3x + -1 = 4x + 3 (-7 * 2 + x * 2) + 3x + -1 = 4x + 3 (-14 + 2x) + 3x + -1 = 4x + 3 Reorder the terms: -14 + -1 + 2x + 3x = 4x + 3 Combine like terms: -14 + -1 = -15 -15 + 2x + 3x = 4x + 3 Combine like terms: 2x + 3x = 5x -15 + 5x = 4x + 3 Reorder the terms: -15 + 5x = 3 + 4x Solving -15 + 5x = 3 + 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. -15 + 5x + -4x = 3 + 4x + -4x Combine like terms: 5x + -4x = 1x -15 + 1x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 1x = 3 + 0 -15 + 1x = 3 Add '15' to each side of the equation. -15 + 15 + 1x = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = 3 + 15 1x = 3 + 15 Combine like terms: 3 + 15 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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