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Simplifying 2x + -7 + -3x = 7 + 2(x + -12) Reorder the terms: -7 + 2x + -3x = 7 + 2(x + -12) Combine like terms: 2x + -3x = -1x -7 + -1x = 7 + 2(x + -12) Reorder the terms: -7 + -1x = 7 + 2(-12 + x) -7 + -1x = 7 + (-12 * 2 + x * 2) -7 + -1x = 7 + (-24 + 2x) Combine like terms: 7 + -24 = -17 -7 + -1x = -17 + 2x Solving -7 + -1x = -17 + 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 = -17 + 2x + -2x Combine like terms: -1x + -2x = -3x -7 + -3x = -17 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + -3x = -17 + 0 -7 + -3x = -17 Add '7' to each side of the equation. -7 + 7 + -3x = -17 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = -17 + 7 -3x = -17 + 7 Combine like terms: -17 + 7 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333
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