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Simplifying 7(x + 3) + -3(x + -2) = 16 + -1(2x + -3) Reorder the terms: 7(3 + x) + -3(x + -2) = 16 + -1(2x + -3) (3 * 7 + x * 7) + -3(x + -2) = 16 + -1(2x + -3) (21 + 7x) + -3(x + -2) = 16 + -1(2x + -3) Reorder the terms: 21 + 7x + -3(-2 + x) = 16 + -1(2x + -3) 21 + 7x + (-2 * -3 + x * -3) = 16 + -1(2x + -3) 21 + 7x + (6 + -3x) = 16 + -1(2x + -3) Reorder the terms: 21 + 6 + 7x + -3x = 16 + -1(2x + -3) Combine like terms: 21 + 6 = 27 27 + 7x + -3x = 16 + -1(2x + -3) Combine like terms: 7x + -3x = 4x 27 + 4x = 16 + -1(2x + -3) Reorder the terms: 27 + 4x = 16 + -1(-3 + 2x) 27 + 4x = 16 + (-3 * -1 + 2x * -1) 27 + 4x = 16 + (3 + -2x) Combine like terms: 16 + 3 = 19 27 + 4x = 19 + -2x Solving 27 + 4x = 19 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 27 + 4x + 2x = 19 + -2x + 2x Combine like terms: 4x + 2x = 6x 27 + 6x = 19 + -2x + 2x Combine like terms: -2x + 2x = 0 27 + 6x = 19 + 0 27 + 6x = 19 Add '-27' to each side of the equation. 27 + -27 + 6x = 19 + -27 Combine like terms: 27 + -27 = 0 0 + 6x = 19 + -27 6x = 19 + -27 Combine like terms: 19 + -27 = -8 6x = -8 Divide each side by '6'. x = -1.333333333 Simplifying x = -1.333333333
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