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Simplifying 2(6 + -3x) + 1 = 3(x + 3) + -5x (6 * 2 + -3x * 2) + 1 = 3(x + 3) + -5x (12 + -6x) + 1 = 3(x + 3) + -5x Reorder the terms: 12 + 1 + -6x = 3(x + 3) + -5x Combine like terms: 12 + 1 = 13 13 + -6x = 3(x + 3) + -5x Reorder the terms: 13 + -6x = 3(3 + x) + -5x 13 + -6x = (3 * 3 + x * 3) + -5x 13 + -6x = (9 + 3x) + -5x Combine like terms: 3x + -5x = -2x 13 + -6x = 9 + -2x Solving 13 + -6x = 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. 13 + -6x + 2x = 9 + -2x + 2x Combine like terms: -6x + 2x = -4x 13 + -4x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + -4x = 9 + 0 13 + -4x = 9 Add '-13' to each side of the equation. 13 + -13 + -4x = 9 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = 9 + -13 -4x = 9 + -13 Combine like terms: 9 + -13 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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