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Simplifying 3(2x + -6) + -4 = 3(x + -2) + -7 Reorder the terms: 3(-6 + 2x) + -4 = 3(x + -2) + -7 (-6 * 3 + 2x * 3) + -4 = 3(x + -2) + -7 (-18 + 6x) + -4 = 3(x + -2) + -7 Reorder the terms: -18 + -4 + 6x = 3(x + -2) + -7 Combine like terms: -18 + -4 = -22 -22 + 6x = 3(x + -2) + -7 Reorder the terms: -22 + 6x = 3(-2 + x) + -7 -22 + 6x = (-2 * 3 + x * 3) + -7 -22 + 6x = (-6 + 3x) + -7 Reorder the terms: -22 + 6x = -6 + -7 + 3x Combine like terms: -6 + -7 = -13 -22 + 6x = -13 + 3x Solving -22 + 6x = -13 + 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. -22 + 6x + -3x = -13 + 3x + -3x Combine like terms: 6x + -3x = 3x -22 + 3x = -13 + 3x + -3x Combine like terms: 3x + -3x = 0 -22 + 3x = -13 + 0 -22 + 3x = -13 Add '22' to each side of the equation. -22 + 22 + 3x = -13 + 22 Combine like terms: -22 + 22 = 0 0 + 3x = -13 + 22 3x = -13 + 22 Combine like terms: -13 + 22 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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