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Simplifying 2(6x + -3) + -3(x + -7) = 2x + 1 Reorder the terms: 2(-3 + 6x) + -3(x + -7) = 2x + 1 (-3 * 2 + 6x * 2) + -3(x + -7) = 2x + 1 (-6 + 12x) + -3(x + -7) = 2x + 1 Reorder the terms: -6 + 12x + -3(-7 + x) = 2x + 1 -6 + 12x + (-7 * -3 + x * -3) = 2x + 1 -6 + 12x + (21 + -3x) = 2x + 1 Reorder the terms: -6 + 21 + 12x + -3x = 2x + 1 Combine like terms: -6 + 21 = 15 15 + 12x + -3x = 2x + 1 Combine like terms: 12x + -3x = 9x 15 + 9x = 2x + 1 Reorder the terms: 15 + 9x = 1 + 2x Solving 15 + 9x = 1 + 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. 15 + 9x + -2x = 1 + 2x + -2x Combine like terms: 9x + -2x = 7x 15 + 7x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 7x = 1 + 0 15 + 7x = 1 Add '-15' to each side of the equation. 15 + -15 + 7x = 1 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = 1 + -15 7x = 1 + -15 Combine like terms: 1 + -15 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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