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Simplifying 4(3x + -7) = 9(2x + -5) Reorder the terms: 4(-7 + 3x) = 9(2x + -5) (-7 * 4 + 3x * 4) = 9(2x + -5) (-28 + 12x) = 9(2x + -5) Reorder the terms: -28 + 12x = 9(-5 + 2x) -28 + 12x = (-5 * 9 + 2x * 9) -28 + 12x = (-45 + 18x) Solving -28 + 12x = -45 + 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 + 12x + -18x = -45 + 18x + -18x Combine like terms: 12x + -18x = -6x -28 + -6x = -45 + 18x + -18x Combine like terms: 18x + -18x = 0 -28 + -6x = -45 + 0 -28 + -6x = -45 Add '28' to each side of the equation. -28 + 28 + -6x = -45 + 28 Combine like terms: -28 + 28 = 0 0 + -6x = -45 + 28 -6x = -45 + 28 Combine like terms: -45 + 28 = -17 -6x = -17 Divide each side by '-6'. x = 2.833333333 Simplifying x = 2.833333333
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