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Simplifying -7x + 6(x + -3) = 3x + -2 Reorder the terms: -7x + 6(-3 + x) = 3x + -2 -7x + (-3 * 6 + x * 6) = 3x + -2 -7x + (-18 + 6x) = 3x + -2 Reorder the terms: -18 + -7x + 6x = 3x + -2 Combine like terms: -7x + 6x = -1x -18 + -1x = 3x + -2 Reorder the terms: -18 + -1x = -2 + 3x Solving -18 + -1x = -2 + 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 + -1x + -3x = -2 + 3x + -3x Combine like terms: -1x + -3x = -4x -18 + -4x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + -4x = -2 + 0 -18 + -4x = -2 Add '18' to each side of the equation. -18 + 18 + -4x = -2 + 18 Combine like terms: -18 + 18 = 0 0 + -4x = -2 + 18 -4x = -2 + 18 Combine like terms: -2 + 18 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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