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Simplifying 3x + -4 = (3x + 19) + (x + 17) Reorder the terms: -4 + 3x = (3x + 19) + (x + 17) Reorder the terms: -4 + 3x = (19 + 3x) + (x + 17) Remove parenthesis around (19 + 3x) -4 + 3x = 19 + 3x + (x + 17) Reorder the terms: -4 + 3x = 19 + 3x + (17 + x) Remove parenthesis around (17 + x) -4 + 3x = 19 + 3x + 17 + x Reorder the terms: -4 + 3x = 19 + 17 + 3x + x Combine like terms: 19 + 17 = 36 -4 + 3x = 36 + 3x + x Combine like terms: 3x + x = 4x -4 + 3x = 36 + 4x Solving -4 + 3x = 36 + 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. -4 + 3x + -4x = 36 + 4x + -4x Combine like terms: 3x + -4x = -1x -4 + -1x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -1x = 36 + 0 -4 + -1x = 36 Add '4' to each side of the equation. -4 + 4 + -1x = 36 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 36 + 4 -1x = 36 + 4 Combine like terms: 36 + 4 = 40 -1x = 40 Divide each side by '-1'. x = -40 Simplifying x = -40
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