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Simplifying 3(4 + 2x) + -3x + 20 = -12 + 30x + -1(c + -3) (4 * 3 + 2x * 3) + -3x + 20 = -12 + 30x + -1(c + -3) (12 + 6x) + -3x + 20 = -12 + 30x + -1(c + -3) Reorder the terms: 12 + 20 + 6x + -3x = -12 + 30x + -1(c + -3) Combine like terms: 12 + 20 = 32 32 + 6x + -3x = -12 + 30x + -1(c + -3) Combine like terms: 6x + -3x = 3x 32 + 3x = -12 + 30x + -1(c + -3) Reorder the terms: 32 + 3x = -12 + 30x + -1(-3 + c) 32 + 3x = -12 + 30x + (-3 * -1 + c * -1) 32 + 3x = -12 + 30x + (3 + -1c) Reorder the terms: 32 + 3x = -12 + 3 + -1c + 30x Combine like terms: -12 + 3 = -9 32 + 3x = -9 + -1c + 30x Solving 32 + 3x = -9 + -1c + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 32 + 3x + -30x = -9 + -1c + 30x + -30x Combine like terms: 3x + -30x = -27x 32 + -27x = -9 + -1c + 30x + -30x Combine like terms: 30x + -30x = 0 32 + -27x = -9 + -1c + 0 32 + -27x = -9 + -1c Add '-32' to each side of the equation. 32 + -32 + -27x = -9 + -32 + -1c Combine like terms: 32 + -32 = 0 0 + -27x = -9 + -32 + -1c -27x = -9 + -32 + -1c Combine like terms: -9 + -32 = -41 -27x = -41 + -1c Divide each side by '-27'. x = 1.518518519 + 0.03703703704c Simplifying x = 1.518518519 + 0.03703703704c
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