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