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Simplifying 2(x + 3) + -5 = 17 + -1(4x + -2) Reorder the terms: 2(3 + x) + -5 = 17 + -1(4x + -2) (3 * 2 + x * 2) + -5 = 17 + -1(4x + -2) (6 + 2x) + -5 = 17 + -1(4x + -2) Reorder the terms: 6 + -5 + 2x = 17 + -1(4x + -2) Combine like terms: 6 + -5 = 1 1 + 2x = 17 + -1(4x + -2) Reorder the terms: 1 + 2x = 17 + -1(-2 + 4x) 1 + 2x = 17 + (-2 * -1 + 4x * -1) 1 + 2x = 17 + (2 + -4x) Combine like terms: 17 + 2 = 19 1 + 2x = 19 + -4x Solving 1 + 2x = 19 + -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. 1 + 2x + 4x = 19 + -4x + 4x Combine like terms: 2x + 4x = 6x 1 + 6x = 19 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 6x = 19 + 0 1 + 6x = 19 Add '-1' to each side of the equation. 1 + -1 + 6x = 19 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 19 + -1 6x = 19 + -1 Combine like terms: 19 + -1 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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