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Simplifying 5(4x + -3) + -3(5 + 3x) = 4x + 2(x + -5) Reorder the terms: 5(-3 + 4x) + -3(5 + 3x) = 4x + 2(x + -5) (-3 * 5 + 4x * 5) + -3(5 + 3x) = 4x + 2(x + -5) (-15 + 20x) + -3(5 + 3x) = 4x + 2(x + -5) -15 + 20x + (5 * -3 + 3x * -3) = 4x + 2(x + -5) -15 + 20x + (-15 + -9x) = 4x + 2(x + -5) Reorder the terms: -15 + -15 + 20x + -9x = 4x + 2(x + -5) Combine like terms: -15 + -15 = -30 -30 + 20x + -9x = 4x + 2(x + -5) Combine like terms: 20x + -9x = 11x -30 + 11x = 4x + 2(x + -5) Reorder the terms: -30 + 11x = 4x + 2(-5 + x) -30 + 11x = 4x + (-5 * 2 + x * 2) -30 + 11x = 4x + (-10 + 2x) Reorder the terms: -30 + 11x = -10 + 4x + 2x Combine like terms: 4x + 2x = 6x -30 + 11x = -10 + 6x Solving -30 + 11x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -30 + 11x + -6x = -10 + 6x + -6x Combine like terms: 11x + -6x = 5x -30 + 5x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 -30 + 5x = -10 + 0 -30 + 5x = -10 Add '30' to each side of the equation. -30 + 30 + 5x = -10 + 30 Combine like terms: -30 + 30 = 0 0 + 5x = -10 + 30 5x = -10 + 30 Combine like terms: -10 + 30 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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