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Simplifying 3(x + -4) * 2 = 3(x + -1) + -7 Reorder the terms: 3(-4 + x) * 2 = 3(x + -1) + -7 Reorder the terms for easier multiplication: 3 * 2(-4 + x) = 3(x + -1) + -7 Multiply 3 * 2 6(-4 + x) = 3(x + -1) + -7 (-4 * 6 + x * 6) = 3(x + -1) + -7 (-24 + 6x) = 3(x + -1) + -7 Reorder the terms: -24 + 6x = 3(-1 + x) + -7 -24 + 6x = (-1 * 3 + x * 3) + -7 -24 + 6x = (-3 + 3x) + -7 Reorder the terms: -24 + 6x = -3 + -7 + 3x Combine like terms: -3 + -7 = -10 -24 + 6x = -10 + 3x Solving -24 + 6x = -10 + 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. -24 + 6x + -3x = -10 + 3x + -3x Combine like terms: 6x + -3x = 3x -24 + 3x = -10 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + 3x = -10 + 0 -24 + 3x = -10 Add '24' to each side of the equation. -24 + 24 + 3x = -10 + 24 Combine like terms: -24 + 24 = 0 0 + 3x = -10 + 24 3x = -10 + 24 Combine like terms: -10 + 24 = 14 3x = 14 Divide each side by '3'. x = 4.666666667 Simplifying x = 4.666666667
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