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Simplifying 3x + 4(-3x + -3) = -13 + -8x Reorder the terms: 3x + 4(-3 + -3x) = -13 + -8x 3x + (-3 * 4 + -3x * 4) = -13 + -8x 3x + (-12 + -12x) = -13 + -8x Reorder the terms: -12 + 3x + -12x = -13 + -8x Combine like terms: 3x + -12x = -9x -12 + -9x = -13 + -8x Solving -12 + -9x = -13 + -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. -12 + -9x + 8x = -13 + -8x + 8x Combine like terms: -9x + 8x = -1x -12 + -1x = -13 + -8x + 8x Combine like terms: -8x + 8x = 0 -12 + -1x = -13 + 0 -12 + -1x = -13 Add '12' to each side of the equation. -12 + 12 + -1x = -13 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = -13 + 12 -1x = -13 + 12 Combine like terms: -13 + 12 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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