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Simplifying 19 + 3(2x + -1) = 18 + -1(3x + -7) Reorder the terms: 19 + 3(-1 + 2x) = 18 + -1(3x + -7) 19 + (-1 * 3 + 2x * 3) = 18 + -1(3x + -7) 19 + (-3 + 6x) = 18 + -1(3x + -7) Combine like terms: 19 + -3 = 16 16 + 6x = 18 + -1(3x + -7) Reorder the terms: 16 + 6x = 18 + -1(-7 + 3x) 16 + 6x = 18 + (-7 * -1 + 3x * -1) 16 + 6x = 18 + (7 + -3x) Combine like terms: 18 + 7 = 25 16 + 6x = 25 + -3x Solving 16 + 6x = 25 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 16 + 6x + 3x = 25 + -3x + 3x Combine like terms: 6x + 3x = 9x 16 + 9x = 25 + -3x + 3x Combine like terms: -3x + 3x = 0 16 + 9x = 25 + 0 16 + 9x = 25 Add '-16' to each side of the equation. 16 + -16 + 9x = 25 + -16 Combine like terms: 16 + -16 = 0 0 + 9x = 25 + -16 9x = 25 + -16 Combine like terms: 25 + -16 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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