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Simplifying 5(3x + -3) + -3(x + -2) = -4x + 3 Reorder the terms: 5(-3 + 3x) + -3(x + -2) = -4x + 3 (-3 * 5 + 3x * 5) + -3(x + -2) = -4x + 3 (-15 + 15x) + -3(x + -2) = -4x + 3 Reorder the terms: -15 + 15x + -3(-2 + x) = -4x + 3 -15 + 15x + (-2 * -3 + x * -3) = -4x + 3 -15 + 15x + (6 + -3x) = -4x + 3 Reorder the terms: -15 + 6 + 15x + -3x = -4x + 3 Combine like terms: -15 + 6 = -9 -9 + 15x + -3x = -4x + 3 Combine like terms: 15x + -3x = 12x -9 + 12x = -4x + 3 Reorder the terms: -9 + 12x = 3 + -4x Solving -9 + 12x = 3 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -9 + 12x + 4x = 3 + -4x + 4x Combine like terms: 12x + 4x = 16x -9 + 16x = 3 + -4x + 4x Combine like terms: -4x + 4x = 0 -9 + 16x = 3 + 0 -9 + 16x = 3 Add '9' to each side of the equation. -9 + 9 + 16x = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 16x = 3 + 9 16x = 3 + 9 Combine like terms: 3 + 9 = 12 16x = 12 Divide each side by '16'. x = 0.75 Simplifying x = 0.75
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