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Simplifying 4(2x + -7) = 9(3x + 1) Reorder the terms: 4(-7 + 2x) = 9(3x + 1) (-7 * 4 + 2x * 4) = 9(3x + 1) (-28 + 8x) = 9(3x + 1) Reorder the terms: -28 + 8x = 9(1 + 3x) -28 + 8x = (1 * 9 + 3x * 9) -28 + 8x = (9 + 27x) Solving -28 + 8x = 9 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -28 + 8x + -27x = 9 + 27x + -27x Combine like terms: 8x + -27x = -19x -28 + -19x = 9 + 27x + -27x Combine like terms: 27x + -27x = 0 -28 + -19x = 9 + 0 -28 + -19x = 9 Add '28' to each side of the equation. -28 + 28 + -19x = 9 + 28 Combine like terms: -28 + 28 = 0 0 + -19x = 9 + 28 -19x = 9 + 28 Combine like terms: 9 + 28 = 37 -19x = 37 Divide each side by '-19'. x = -1.947368421 Simplifying x = -1.947368421
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