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Simplifying 10x + 9x + -3 = 7(x + 3) Reorder the terms: -3 + 10x + 9x = 7(x + 3) Combine like terms: 10x + 9x = 19x -3 + 19x = 7(x + 3) Reorder the terms: -3 + 19x = 7(3 + x) -3 + 19x = (3 * 7 + x * 7) -3 + 19x = (21 + 7x) Solving -3 + 19x = 21 + 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 + 19x + -7x = 21 + 7x + -7x Combine like terms: 19x + -7x = 12x -3 + 12x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + 12x = 21 + 0 -3 + 12x = 21 Add '3' to each side of the equation. -3 + 3 + 12x = 21 + 3 Combine like terms: -3 + 3 = 0 0 + 12x = 21 + 3 12x = 21 + 3 Combine like terms: 21 + 3 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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