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Simplifying 3x + 5 + -4x + 8 = 2x + -7 Reorder the terms: 5 + 8 + 3x + -4x = 2x + -7 Combine like terms: 5 + 8 = 13 13 + 3x + -4x = 2x + -7 Combine like terms: 3x + -4x = -1x 13 + -1x = 2x + -7 Reorder the terms: 13 + -1x = -7 + 2x Solving 13 + -1x = -7 + 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. 13 + -1x + -2x = -7 + 2x + -2x Combine like terms: -1x + -2x = -3x 13 + -3x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + -3x = -7 + 0 13 + -3x = -7 Add '-13' to each side of the equation. 13 + -13 + -3x = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = -7 + -13 -3x = -7 + -13 Combine like terms: -7 + -13 = -20 -3x = -20 Divide each side by '-3'. x = 6.666666667 Simplifying x = 6.666666667
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