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Simplifying 2x + -7 + -3x = 7 + 2(x + -6) Reorder the terms: -7 + 2x + -3x = 7 + 2(x + -6) Combine like terms: 2x + -3x = -1x -7 + -1x = 7 + 2(x + -6) Reorder the terms: -7 + -1x = 7 + 2(-6 + x) -7 + -1x = 7 + (-6 * 2 + x * 2) -7 + -1x = 7 + (-12 + 2x) Combine like terms: 7 + -12 = -5 -7 + -1x = -5 + 2x Solving -7 + -1x = -5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + -1x + -2x = -5 + 2x + -2x Combine like terms: -1x + -2x = -3x -7 + -3x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + -3x = -5 + 0 -7 + -3x = -5 Add '7' to each side of the equation. -7 + 7 + -3x = -5 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = -5 + 7 -3x = -5 + 7 Combine like terms: -5 + 7 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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