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Simplifying 5(x + 4) + -2(9x + 1) = -14(x + -2) + 7 Reorder the terms: 5(4 + x) + -2(9x + 1) = -14(x + -2) + 7 (4 * 5 + x * 5) + -2(9x + 1) = -14(x + -2) + 7 (20 + 5x) + -2(9x + 1) = -14(x + -2) + 7 Reorder the terms: 20 + 5x + -2(1 + 9x) = -14(x + -2) + 7 20 + 5x + (1 * -2 + 9x * -2) = -14(x + -2) + 7 20 + 5x + (-2 + -18x) = -14(x + -2) + 7 Reorder the terms: 20 + -2 + 5x + -18x = -14(x + -2) + 7 Combine like terms: 20 + -2 = 18 18 + 5x + -18x = -14(x + -2) + 7 Combine like terms: 5x + -18x = -13x 18 + -13x = -14(x + -2) + 7 Reorder the terms: 18 + -13x = -14(-2 + x) + 7 18 + -13x = (-2 * -14 + x * -14) + 7 18 + -13x = (28 + -14x) + 7 Reorder the terms: 18 + -13x = 28 + 7 + -14x Combine like terms: 28 + 7 = 35 18 + -13x = 35 + -14x Solving 18 + -13x = 35 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 18 + -13x + 14x = 35 + -14x + 14x Combine like terms: -13x + 14x = 1x 18 + 1x = 35 + -14x + 14x Combine like terms: -14x + 14x = 0 18 + 1x = 35 + 0 18 + 1x = 35 Add '-18' to each side of the equation. 18 + -18 + 1x = 35 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 35 + -18 1x = 35 + -18 Combine like terms: 35 + -18 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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