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Simplifying 4(x + 3) + 4x + -2 = 12x + 30 Reorder the terms: 4(3 + x) + 4x + -2 = 12x + 30 (3 * 4 + x * 4) + 4x + -2 = 12x + 30 (12 + 4x) + 4x + -2 = 12x + 30 Reorder the terms: 12 + -2 + 4x + 4x = 12x + 30 Combine like terms: 12 + -2 = 10 10 + 4x + 4x = 12x + 30 Combine like terms: 4x + 4x = 8x 10 + 8x = 12x + 30 Reorder the terms: 10 + 8x = 30 + 12x Solving 10 + 8x = 30 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 10 + 8x + -12x = 30 + 12x + -12x Combine like terms: 8x + -12x = -4x 10 + -4x = 30 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -4x = 30 + 0 10 + -4x = 30 Add '-10' to each side of the equation. 10 + -10 + -4x = 30 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 30 + -10 -4x = 30 + -10 Combine like terms: 30 + -10 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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