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Simplifying 2x + -3 + 8 = 7(x + -7) + -2x Reorder the terms: -3 + 8 + 2x = 7(x + -7) + -2x Combine like terms: -3 + 8 = 5 5 + 2x = 7(x + -7) + -2x Reorder the terms: 5 + 2x = 7(-7 + x) + -2x 5 + 2x = (-7 * 7 + x * 7) + -2x 5 + 2x = (-49 + 7x) + -2x Combine like terms: 7x + -2x = 5x 5 + 2x = -49 + 5x Solving 5 + 2x = -49 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 5 + 2x + -5x = -49 + 5x + -5x Combine like terms: 2x + -5x = -3x 5 + -3x = -49 + 5x + -5x Combine like terms: 5x + -5x = 0 5 + -3x = -49 + 0 5 + -3x = -49 Add '-5' to each side of the equation. 5 + -5 + -3x = -49 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -49 + -5 -3x = -49 + -5 Combine like terms: -49 + -5 = -54 -3x = -54 Divide each side by '-3'. x = 18 Simplifying x = 18
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