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Simplifying 2(x + -3) + -4(x + -6) = 7x Reorder the terms: 2(-3 + x) + -4(x + -6) = 7x (-3 * 2 + x * 2) + -4(x + -6) = 7x (-6 + 2x) + -4(x + -6) = 7x Reorder the terms: -6 + 2x + -4(-6 + x) = 7x -6 + 2x + (-6 * -4 + x * -4) = 7x -6 + 2x + (24 + -4x) = 7x Reorder the terms: -6 + 24 + 2x + -4x = 7x Combine like terms: -6 + 24 = 18 18 + 2x + -4x = 7x Combine like terms: 2x + -4x = -2x 18 + -2x = 7x Solving 18 + -2x = 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. 18 + -2x + -7x = 7x + -7x Combine like terms: -2x + -7x = -9x 18 + -9x = 7x + -7x Combine like terms: 7x + -7x = 0 18 + -9x = 0 Add '-18' to each side of the equation. 18 + -18 + -9x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -9x = 0 + -18 -9x = 0 + -18 Combine like terms: 0 + -18 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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