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Simplifying 4(3x + -6) + -2 = 4(x + -4) + 30 Reorder the terms: 4(-6 + 3x) + -2 = 4(x + -4) + 30 (-6 * 4 + 3x * 4) + -2 = 4(x + -4) + 30 (-24 + 12x) + -2 = 4(x + -4) + 30 Reorder the terms: -24 + -2 + 12x = 4(x + -4) + 30 Combine like terms: -24 + -2 = -26 -26 + 12x = 4(x + -4) + 30 Reorder the terms: -26 + 12x = 4(-4 + x) + 30 -26 + 12x = (-4 * 4 + x * 4) + 30 -26 + 12x = (-16 + 4x) + 30 Reorder the terms: -26 + 12x = -16 + 30 + 4x Combine like terms: -16 + 30 = 14 -26 + 12x = 14 + 4x Solving -26 + 12x = 14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -26 + 12x + -4x = 14 + 4x + -4x Combine like terms: 12x + -4x = 8x -26 + 8x = 14 + 4x + -4x Combine like terms: 4x + -4x = 0 -26 + 8x = 14 + 0 -26 + 8x = 14 Add '26' to each side of the equation. -26 + 26 + 8x = 14 + 26 Combine like terms: -26 + 26 = 0 0 + 8x = 14 + 26 8x = 14 + 26 Combine like terms: 14 + 26 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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