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Simplifying 3(4x + -30) = 4 + -4(x + 6) Reorder the terms: 3(-30 + 4x) = 4 + -4(x + 6) (-30 * 3 + 4x * 3) = 4 + -4(x + 6) (-90 + 12x) = 4 + -4(x + 6) Reorder the terms: -90 + 12x = 4 + -4(6 + x) -90 + 12x = 4 + (6 * -4 + x * -4) -90 + 12x = 4 + (-24 + -4x) Combine like terms: 4 + -24 = -20 -90 + 12x = -20 + -4x Solving -90 + 12x = -20 + -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. -90 + 12x + 4x = -20 + -4x + 4x Combine like terms: 12x + 4x = 16x -90 + 16x = -20 + -4x + 4x Combine like terms: -4x + 4x = 0 -90 + 16x = -20 + 0 -90 + 16x = -20 Add '90' to each side of the equation. -90 + 90 + 16x = -20 + 90 Combine like terms: -90 + 90 = 0 0 + 16x = -20 + 90 16x = -20 + 90 Combine like terms: -20 + 90 = 70 16x = 70 Divide each side by '16'. x = 4.375 Simplifying x = 4.375
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