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Simplifying 3x + -2 + 10 = 10 + 5(x + -8) Reorder the terms: -2 + 10 + 3x = 10 + 5(x + -8) Combine like terms: -2 + 10 = 8 8 + 3x = 10 + 5(x + -8) Reorder the terms: 8 + 3x = 10 + 5(-8 + x) 8 + 3x = 10 + (-8 * 5 + x * 5) 8 + 3x = 10 + (-40 + 5x) Combine like terms: 10 + -40 = -30 8 + 3x = -30 + 5x Solving 8 + 3x = -30 + 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. 8 + 3x + -5x = -30 + 5x + -5x Combine like terms: 3x + -5x = -2x 8 + -2x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -2x = -30 + 0 8 + -2x = -30 Add '-8' to each side of the equation. 8 + -8 + -2x = -30 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -30 + -8 -2x = -30 + -8 Combine like terms: -30 + -8 = -38 -2x = -38 Divide each side by '-2'. x = 19 Simplifying x = 19
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