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Simplifying 2x + 3(4 + -5x) = 6 + -7x 2x + (4 * 3 + -5x * 3) = 6 + -7x 2x + (12 + -15x) = 6 + -7x Reorder the terms: 12 + 2x + -15x = 6 + -7x Combine like terms: 2x + -15x = -13x 12 + -13x = 6 + -7x Solving 12 + -13x = 6 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 12 + -13x + 7x = 6 + -7x + 7x Combine like terms: -13x + 7x = -6x 12 + -6x = 6 + -7x + 7x Combine like terms: -7x + 7x = 0 12 + -6x = 6 + 0 12 + -6x = 6 Add '-12' to each side of the equation. 12 + -12 + -6x = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = 6 + -12 -6x = 6 + -12 Combine like terms: 6 + -12 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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