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Simplifying 3x + -1(30 + 4x) = 12x + -15 + -4x + 3 3x + (30 * -1 + 4x * -1) = 12x + -15 + -4x + 3 3x + (-30 + -4x) = 12x + -15 + -4x + 3 Reorder the terms: -30 + 3x + -4x = 12x + -15 + -4x + 3 Combine like terms: 3x + -4x = -1x -30 + -1x = 12x + -15 + -4x + 3 Reorder the terms: -30 + -1x = -15 + 3 + 12x + -4x Combine like terms: -15 + 3 = -12 -30 + -1x = -12 + 12x + -4x Combine like terms: 12x + -4x = 8x -30 + -1x = -12 + 8x Solving -30 + -1x = -12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -30 + -1x + -8x = -12 + 8x + -8x Combine like terms: -1x + -8x = -9x -30 + -9x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 -30 + -9x = -12 + 0 -30 + -9x = -12 Add '30' to each side of the equation. -30 + 30 + -9x = -12 + 30 Combine like terms: -30 + 30 = 0 0 + -9x = -12 + 30 -9x = -12 + 30 Combine like terms: -12 + 30 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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