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Simplifying 10 + 6x = -4(-3x + 8) Reorder the terms: 10 + 6x = -4(8 + -3x) 10 + 6x = (8 * -4 + -3x * -4) 10 + 6x = (-32 + 12x) Solving 10 + 6x = -32 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 10 + 6x + -12x = -32 + 12x + -12x Combine like terms: 6x + -12x = -6x 10 + -6x = -32 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -6x = -32 + 0 10 + -6x = -32 Add '-10' to each side of the equation. 10 + -10 + -6x = -32 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = -32 + -10 -6x = -32 + -10 Combine like terms: -32 + -10 = -42 -6x = -42 Divide each side by '-6'. x = 7 Simplifying x = 7
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