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Simplifying 3(2x + -8) + -4 = 3(x + -2) + -1 Reorder the terms: 3(-8 + 2x) + -4 = 3(x + -2) + -1 (-8 * 3 + 2x * 3) + -4 = 3(x + -2) + -1 (-24 + 6x) + -4 = 3(x + -2) + -1 Reorder the terms: -24 + -4 + 6x = 3(x + -2) + -1 Combine like terms: -24 + -4 = -28 -28 + 6x = 3(x + -2) + -1 Reorder the terms: -28 + 6x = 3(-2 + x) + -1 -28 + 6x = (-2 * 3 + x * 3) + -1 -28 + 6x = (-6 + 3x) + -1 Reorder the terms: -28 + 6x = -6 + -1 + 3x Combine like terms: -6 + -1 = -7 -28 + 6x = -7 + 3x Solving -28 + 6x = -7 + 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. -28 + 6x + -3x = -7 + 3x + -3x Combine like terms: 6x + -3x = 3x -28 + 3x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -28 + 3x = -7 + 0 -28 + 3x = -7 Add '28' to each side of the equation. -28 + 28 + 3x = -7 + 28 Combine like terms: -28 + 28 = 0 0 + 3x = -7 + 28 3x = -7 + 28 Combine like terms: -7 + 28 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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