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Simplifying 3(x + -2) + 4 = 6(x + -4) Reorder the terms: 3(-2 + x) + 4 = 6(x + -4) (-2 * 3 + x * 3) + 4 = 6(x + -4) (-6 + 3x) + 4 = 6(x + -4) Reorder the terms: -6 + 4 + 3x = 6(x + -4) Combine like terms: -6 + 4 = -2 -2 + 3x = 6(x + -4) Reorder the terms: -2 + 3x = 6(-4 + x) -2 + 3x = (-4 * 6 + x * 6) -2 + 3x = (-24 + 6x) Solving -2 + 3x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 3x + -6x = -24 + 6x + -6x Combine like terms: 3x + -6x = -3x -2 + -3x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -3x = -24 + 0 -2 + -3x = -24 Add '2' to each side of the equation. -2 + 2 + -3x = -24 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = -24 + 2 -3x = -24 + 2 Combine like terms: -24 + 2 = -22 -3x = -22 Divide each side by '-3'. x = 7.333333333 Simplifying x = 7.333333333
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