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Simplifying 3(2 + -5x) = 10x + -12 + -7x (2 * 3 + -5x * 3) = 10x + -12 + -7x (6 + -15x) = 10x + -12 + -7x Reorder the terms: 6 + -15x = -12 + 10x + -7x Combine like terms: 10x + -7x = 3x 6 + -15x = -12 + 3x Solving 6 + -15x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + -15x + -3x = -12 + 3x + -3x Combine like terms: -15x + -3x = -18x 6 + -18x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -18x = -12 + 0 6 + -18x = -12 Add '-6' to each side of the equation. 6 + -6 + -18x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -18x = -12 + -6 -18x = -12 + -6 Combine like terms: -12 + -6 = -18 -18x = -18 Divide each side by '-18'. x = 1 Simplifying x = 1
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