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