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Simplifying 19 + 2(2x + -3) = 14 + -1(3x + -6) Reorder the terms: 19 + 2(-3 + 2x) = 14 + -1(3x + -6) 19 + (-3 * 2 + 2x * 2) = 14 + -1(3x + -6) 19 + (-6 + 4x) = 14 + -1(3x + -6) Combine like terms: 19 + -6 = 13 13 + 4x = 14 + -1(3x + -6) Reorder the terms: 13 + 4x = 14 + -1(-6 + 3x) 13 + 4x = 14 + (-6 * -1 + 3x * -1) 13 + 4x = 14 + (6 + -3x) Combine like terms: 14 + 6 = 20 13 + 4x = 20 + -3x Solving 13 + 4x = 20 + -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. 13 + 4x + 3x = 20 + -3x + 3x Combine like terms: 4x + 3x = 7x 13 + 7x = 20 + -3x + 3x Combine like terms: -3x + 3x = 0 13 + 7x = 20 + 0 13 + 7x = 20 Add '-13' to each side of the equation. 13 + -13 + 7x = 20 + -13 Combine like terms: 13 + -13 = 0 0 + 7x = 20 + -13 7x = 20 + -13 Combine like terms: 20 + -13 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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