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Simplifying 3x + 8 = 3(2x + -2) + -10 Reorder the terms: 8 + 3x = 3(2x + -2) + -10 Reorder the terms: 8 + 3x = 3(-2 + 2x) + -10 8 + 3x = (-2 * 3 + 2x * 3) + -10 8 + 3x = (-6 + 6x) + -10 Reorder the terms: 8 + 3x = -6 + -10 + 6x Combine like terms: -6 + -10 = -16 8 + 3x = -16 + 6x Solving 8 + 3x = -16 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 3x + -6x = -16 + 6x + -6x Combine like terms: 3x + -6x = -3x 8 + -3x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -3x = -16 + 0 8 + -3x = -16 Add '-8' to each side of the equation. 8 + -8 + -3x = -16 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -16 + -8 -3x = -16 + -8 Combine like terms: -16 + -8 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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