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Simplifying 5(3x + -7) = 7(4x + 3) Reorder the terms: 5(-7 + 3x) = 7(4x + 3) (-7 * 5 + 3x * 5) = 7(4x + 3) (-35 + 15x) = 7(4x + 3) Reorder the terms: -35 + 15x = 7(3 + 4x) -35 + 15x = (3 * 7 + 4x * 7) -35 + 15x = (21 + 28x) Solving -35 + 15x = 21 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -35 + 15x + -28x = 21 + 28x + -28x Combine like terms: 15x + -28x = -13x -35 + -13x = 21 + 28x + -28x Combine like terms: 28x + -28x = 0 -35 + -13x = 21 + 0 -35 + -13x = 21 Add '35' to each side of the equation. -35 + 35 + -13x = 21 + 35 Combine like terms: -35 + 35 = 0 0 + -13x = 21 + 35 -13x = 21 + 35 Combine like terms: 21 + 35 = 56 -13x = 56 Divide each side by '-13'. x = -4.307692308 Simplifying x = -4.307692308
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