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Simplifying 3(6 + -3x) + 1 = 3(x + 4) + -5x (6 * 3 + -3x * 3) + 1 = 3(x + 4) + -5x (18 + -9x) + 1 = 3(x + 4) + -5x Reorder the terms: 18 + 1 + -9x = 3(x + 4) + -5x Combine like terms: 18 + 1 = 19 19 + -9x = 3(x + 4) + -5x Reorder the terms: 19 + -9x = 3(4 + x) + -5x 19 + -9x = (4 * 3 + x * 3) + -5x 19 + -9x = (12 + 3x) + -5x Combine like terms: 3x + -5x = -2x 19 + -9x = 12 + -2x Solving 19 + -9x = 12 + -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 + -9x + 2x = 12 + -2x + 2x Combine like terms: -9x + 2x = -7x 19 + -7x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 19 + -7x = 12 + 0 19 + -7x = 12 Add '-19' to each side of the equation. 19 + -19 + -7x = 12 + -19 Combine like terms: 19 + -19 = 0 0 + -7x = 12 + -19 -7x = 12 + -19 Combine like terms: 12 + -19 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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