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Simplifying 5x + -3(3x + 1) = 7x + 4 Reorder the terms: 5x + -3(1 + 3x) = 7x + 4 5x + (1 * -3 + 3x * -3) = 7x + 4 5x + (-3 + -9x) = 7x + 4 Reorder the terms: -3 + 5x + -9x = 7x + 4 Combine like terms: 5x + -9x = -4x -3 + -4x = 7x + 4 Reorder the terms: -3 + -4x = 4 + 7x Solving -3 + -4x = 4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -3 + -4x + -7x = 4 + 7x + -7x Combine like terms: -4x + -7x = -11x -3 + -11x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + -11x = 4 + 0 -3 + -11x = 4 Add '3' to each side of the equation. -3 + 3 + -11x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + -11x = 4 + 3 -11x = 4 + 3 Combine like terms: 4 + 3 = 7 -11x = 7 Divide each side by '-11'. x = -0.6363636364 Simplifying x = -0.6363636364
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