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Simplifying 6x + -5(2x + -3) = 7x + 12 + -5x Reorder the terms: 6x + -5(-3 + 2x) = 7x + 12 + -5x 6x + (-3 * -5 + 2x * -5) = 7x + 12 + -5x 6x + (15 + -10x) = 7x + 12 + -5x Reorder the terms: 15 + 6x + -10x = 7x + 12 + -5x Combine like terms: 6x + -10x = -4x 15 + -4x = 7x + 12 + -5x Reorder the terms: 15 + -4x = 12 + 7x + -5x Combine like terms: 7x + -5x = 2x 15 + -4x = 12 + 2x Solving 15 + -4x = 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. 15 + -4x + -2x = 12 + 2x + -2x Combine like terms: -4x + -2x = -6x 15 + -6x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + -6x = 12 + 0 15 + -6x = 12 Add '-15' to each side of the equation. 15 + -15 + -6x = 12 + -15 Combine like terms: 15 + -15 = 0 0 + -6x = 12 + -15 -6x = 12 + -15 Combine like terms: 12 + -15 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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