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Simplifying (3x + 1) + 2 = 4(x + -4) Reorder the terms: (1 + 3x) + 2 = 4(x + -4) Remove parenthesis around (1 + 3x) 1 + 3x + 2 = 4(x + -4) Reorder the terms: 1 + 2 + 3x = 4(x + -4) Combine like terms: 1 + 2 = 3 3 + 3x = 4(x + -4) Reorder the terms: 3 + 3x = 4(-4 + x) 3 + 3x = (-4 * 4 + x * 4) 3 + 3x = (-16 + 4x) Solving 3 + 3x = -16 + 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. 3 + 3x + -4x = -16 + 4x + -4x Combine like terms: 3x + -4x = -1x 3 + -1x = -16 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -1x = -16 + 0 3 + -1x = -16 Add '-3' to each side of the equation. 3 + -3 + -1x = -16 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -16 + -3 -1x = -16 + -3 Combine like terms: -16 + -3 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19
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