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Simplifying 4(2x + -7) + 5x = 1 + 2(5 + 9x) Reorder the terms: 4(-7 + 2x) + 5x = 1 + 2(5 + 9x) (-7 * 4 + 2x * 4) + 5x = 1 + 2(5 + 9x) (-28 + 8x) + 5x = 1 + 2(5 + 9x) Combine like terms: 8x + 5x = 13x -28 + 13x = 1 + 2(5 + 9x) -28 + 13x = 1 + (5 * 2 + 9x * 2) -28 + 13x = 1 + (10 + 18x) Combine like terms: 1 + 10 = 11 -28 + 13x = 11 + 18x Solving -28 + 13x = 11 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -28 + 13x + -18x = 11 + 18x + -18x Combine like terms: 13x + -18x = -5x -28 + -5x = 11 + 18x + -18x Combine like terms: 18x + -18x = 0 -28 + -5x = 11 + 0 -28 + -5x = 11 Add '28' to each side of the equation. -28 + 28 + -5x = 11 + 28 Combine like terms: -28 + 28 = 0 0 + -5x = 11 + 28 -5x = 11 + 28 Combine like terms: 11 + 28 = 39 -5x = 39 Divide each side by '-5'. x = -7.8 Simplifying x = -7.8
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