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Simplifying 5(3x + -2) = 4(7x + 6) Reorder the terms: 5(-2 + 3x) = 4(7x + 6) (-2 * 5 + 3x * 5) = 4(7x + 6) (-10 + 15x) = 4(7x + 6) Reorder the terms: -10 + 15x = 4(6 + 7x) -10 + 15x = (6 * 4 + 7x * 4) -10 + 15x = (24 + 28x) Solving -10 + 15x = 24 + 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. -10 + 15x + -28x = 24 + 28x + -28x Combine like terms: 15x + -28x = -13x -10 + -13x = 24 + 28x + -28x Combine like terms: 28x + -28x = 0 -10 + -13x = 24 + 0 -10 + -13x = 24 Add '10' to each side of the equation. -10 + 10 + -13x = 24 + 10 Combine like terms: -10 + 10 = 0 0 + -13x = 24 + 10 -13x = 24 + 10 Combine like terms: 24 + 10 = 34 -13x = 34 Divide each side by '-13'. x = -2.615384615 Simplifying x = -2.615384615
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