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Simplifying 3x + 5 = 19 + -1(x + -2) Reorder the terms: 5 + 3x = 19 + -1(x + -2) Reorder the terms: 5 + 3x = 19 + -1(-2 + x) 5 + 3x = 19 + (-2 * -1 + x * -1) 5 + 3x = 19 + (2 + -1x) Combine like terms: 19 + 2 = 21 5 + 3x = 21 + -1x Solving 5 + 3x = 21 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 5 + 3x + x = 21 + -1x + x Combine like terms: 3x + x = 4x 5 + 4x = 21 + -1x + x Combine like terms: -1x + x = 0 5 + 4x = 21 + 0 5 + 4x = 21 Add '-5' to each side of the equation. 5 + -5 + 4x = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 21 + -5 4x = 21 + -5 Combine like terms: 21 + -5 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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