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Simplifying 3x + 19 = (3x + -4) + (x + 17) Reorder the terms: 19 + 3x = (3x + -4) + (x + 17) Reorder the terms: 19 + 3x = (-4 + 3x) + (x + 17) Remove parenthesis around (-4 + 3x) 19 + 3x = -4 + 3x + (x + 17) Reorder the terms: 19 + 3x = -4 + 3x + (17 + x) Remove parenthesis around (17 + x) 19 + 3x = -4 + 3x + 17 + x Reorder the terms: 19 + 3x = -4 + 17 + 3x + x Combine like terms: -4 + 17 = 13 19 + 3x = 13 + 3x + x Combine like terms: 3x + x = 4x 19 + 3x = 13 + 4x Solving 19 + 3x = 13 + 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. 19 + 3x + -4x = 13 + 4x + -4x Combine like terms: 3x + -4x = -1x 19 + -1x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 19 + -1x = 13 + 0 19 + -1x = 13 Add '-19' to each side of the equation. 19 + -19 + -1x = 13 + -19 Combine like terms: 19 + -19 = 0 0 + -1x = 13 + -19 -1x = 13 + -19 Combine like terms: 13 + -19 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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