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Simplifying 10x + -4x + 3 = 3(x + 6) Reorder the terms: 3 + 10x + -4x = 3(x + 6) Combine like terms: 10x + -4x = 6x 3 + 6x = 3(x + 6) Reorder the terms: 3 + 6x = 3(6 + x) 3 + 6x = (6 * 3 + x * 3) 3 + 6x = (18 + 3x) Solving 3 + 6x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 3 + 6x + -3x = 18 + 3x + -3x Combine like terms: 6x + -3x = 3x 3 + 3x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + 3x = 18 + 0 3 + 3x = 18 Add '-3' to each side of the equation. 3 + -3 + 3x = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 18 + -3 3x = 18 + -3 Combine like terms: 18 + -3 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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