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Simplifying 3(6 + -4x) + 1 = 3(x + 3) + -5x (6 * 3 + -4x * 3) + 1 = 3(x + 3) + -5x (18 + -12x) + 1 = 3(x + 3) + -5x Reorder the terms: 18 + 1 + -12x = 3(x + 3) + -5x Combine like terms: 18 + 1 = 19 19 + -12x = 3(x + 3) + -5x Reorder the terms: 19 + -12x = 3(3 + x) + -5x 19 + -12x = (3 * 3 + x * 3) + -5x 19 + -12x = (9 + 3x) + -5x Combine like terms: 3x + -5x = -2x 19 + -12x = 9 + -2x Solving 19 + -12x = 9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 19 + -12x + 2x = 9 + -2x + 2x Combine like terms: -12x + 2x = -10x 19 + -10x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 19 + -10x = 9 + 0 19 + -10x = 9 Add '-19' to each side of the equation. 19 + -19 + -10x = 9 + -19 Combine like terms: 19 + -19 = 0 0 + -10x = 9 + -19 -10x = 9 + -19 Combine like terms: 9 + -19 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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