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Simplifying 2x + 30 = 4(3x + -1) + 2 Reorder the terms: 30 + 2x = 4(3x + -1) + 2 Reorder the terms: 30 + 2x = 4(-1 + 3x) + 2 30 + 2x = (-1 * 4 + 3x * 4) + 2 30 + 2x = (-4 + 12x) + 2 Reorder the terms: 30 + 2x = -4 + 2 + 12x Combine like terms: -4 + 2 = -2 30 + 2x = -2 + 12x Solving 30 + 2x = -2 + 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. 30 + 2x + -12x = -2 + 12x + -12x Combine like terms: 2x + -12x = -10x 30 + -10x = -2 + 12x + -12x Combine like terms: 12x + -12x = 0 30 + -10x = -2 + 0 30 + -10x = -2 Add '-30' to each side of the equation. 30 + -30 + -10x = -2 + -30 Combine like terms: 30 + -30 = 0 0 + -10x = -2 + -30 -10x = -2 + -30 Combine like terms: -2 + -30 = -32 -10x = -32 Divide each side by '-10'. x = 3.2 Simplifying x = 3.2
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