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Simplifying 3(2x + -6) = 4x + -7(x + -3) Reorder the terms: 3(-6 + 2x) = 4x + -7(x + -3) (-6 * 3 + 2x * 3) = 4x + -7(x + -3) (-18 + 6x) = 4x + -7(x + -3) Reorder the terms: -18 + 6x = 4x + -7(-3 + x) -18 + 6x = 4x + (-3 * -7 + x * -7) -18 + 6x = 4x + (21 + -7x) Reorder the terms: -18 + 6x = 21 + 4x + -7x Combine like terms: 4x + -7x = -3x -18 + 6x = 21 + -3x Solving -18 + 6x = 21 + -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. -18 + 6x + 3x = 21 + -3x + 3x Combine like terms: 6x + 3x = 9x -18 + 9x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 -18 + 9x = 21 + 0 -18 + 9x = 21 Add '18' to each side of the equation. -18 + 18 + 9x = 21 + 18 Combine like terms: -18 + 18 = 0 0 + 9x = 21 + 18 9x = 21 + 18 Combine like terms: 21 + 18 = 39 9x = 39 Divide each side by '9'. x = 4.333333333 Simplifying x = 4.333333333
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