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Simplifying 7(2x + 4) + (x + 1) = -3(x + -2) Reorder the terms: 7(4 + 2x) + (x + 1) = -3(x + -2) (4 * 7 + 2x * 7) + (x + 1) = -3(x + -2) (28 + 14x) + (x + 1) = -3(x + -2) Reorder the terms: 28 + 14x + (1 + x) = -3(x + -2) Remove parenthesis around (1 + x) 28 + 14x + 1 + x = -3(x + -2) Reorder the terms: 28 + 1 + 14x + x = -3(x + -2) Combine like terms: 28 + 1 = 29 29 + 14x + x = -3(x + -2) Combine like terms: 14x + x = 15x 29 + 15x = -3(x + -2) Reorder the terms: 29 + 15x = -3(-2 + x) 29 + 15x = (-2 * -3 + x * -3) 29 + 15x = (6 + -3x) Solving 29 + 15x = 6 + -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. 29 + 15x + 3x = 6 + -3x + 3x Combine like terms: 15x + 3x = 18x 29 + 18x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 29 + 18x = 6 + 0 29 + 18x = 6 Add '-29' to each side of the equation. 29 + -29 + 18x = 6 + -29 Combine like terms: 29 + -29 = 0 0 + 18x = 6 + -29 18x = 6 + -29 Combine like terms: 6 + -29 = -23 18x = -23 Divide each side by '18'. x = -1.277777778 Simplifying x = -1.277777778
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