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Simplifying 5(x + -3) + 2x = 4(x + 3) Reorder the terms: 5(-3 + x) + 2x = 4(x + 3) (-3 * 5 + x * 5) + 2x = 4(x + 3) (-15 + 5x) + 2x = 4(x + 3) Combine like terms: 5x + 2x = 7x -15 + 7x = 4(x + 3) Reorder the terms: -15 + 7x = 4(3 + x) -15 + 7x = (3 * 4 + x * 4) -15 + 7x = (12 + 4x) Solving -15 + 7x = 12 + 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. -15 + 7x + -4x = 12 + 4x + -4x Combine like terms: 7x + -4x = 3x -15 + 3x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + 3x = 12 + 0 -15 + 3x = 12 Add '15' to each side of the equation. -15 + 15 + 3x = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 12 + 15 3x = 12 + 15 Combine like terms: 12 + 15 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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