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Simplifying 10 + 3x = -8x + 6(x + -5) Reorder the terms: 10 + 3x = -8x + 6(-5 + x) 10 + 3x = -8x + (-5 * 6 + x * 6) 10 + 3x = -8x + (-30 + 6x) Reorder the terms: 10 + 3x = -30 + -8x + 6x Combine like terms: -8x + 6x = -2x 10 + 3x = -30 + -2x Solving 10 + 3x = -30 + -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. 10 + 3x + 2x = -30 + -2x + 2x Combine like terms: 3x + 2x = 5x 10 + 5x = -30 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 5x = -30 + 0 10 + 5x = -30 Add '-10' to each side of the equation. 10 + -10 + 5x = -30 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = -30 + -10 5x = -30 + -10 Combine like terms: -30 + -10 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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