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Simplifying 5(x + 3) + -3(x + -2) = 7x Reorder the terms: 5(3 + x) + -3(x + -2) = 7x (3 * 5 + x * 5) + -3(x + -2) = 7x (15 + 5x) + -3(x + -2) = 7x Reorder the terms: 15 + 5x + -3(-2 + x) = 7x 15 + 5x + (-2 * -3 + x * -3) = 7x 15 + 5x + (6 + -3x) = 7x Reorder the terms: 15 + 6 + 5x + -3x = 7x Combine like terms: 15 + 6 = 21 21 + 5x + -3x = 7x Combine like terms: 5x + -3x = 2x 21 + 2x = 7x Solving 21 + 2x = 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. 21 + 2x + -7x = 7x + -7x Combine like terms: 2x + -7x = -5x 21 + -5x = 7x + -7x Combine like terms: 7x + -7x = 0 21 + -5x = 0 Add '-21' to each side of the equation. 21 + -21 + -5x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -5x = 0 + -21 -5x = 0 + -21 Combine like terms: 0 + -21 = -21 -5x = -21 Divide each side by '-5'. x = 4.2 Simplifying x = 4.2
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