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Simplifying -10(x + -5) + 12 = 6(-8 + 2x) Reorder the terms: -10(-5 + x) + 12 = 6(-8 + 2x) (-5 * -10 + x * -10) + 12 = 6(-8 + 2x) (50 + -10x) + 12 = 6(-8 + 2x) Reorder the terms: 50 + 12 + -10x = 6(-8 + 2x) Combine like terms: 50 + 12 = 62 62 + -10x = 6(-8 + 2x) 62 + -10x = (-8 * 6 + 2x * 6) 62 + -10x = (-48 + 12x) Solving 62 + -10x = -48 + 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. 62 + -10x + -12x = -48 + 12x + -12x Combine like terms: -10x + -12x = -22x 62 + -22x = -48 + 12x + -12x Combine like terms: 12x + -12x = 0 62 + -22x = -48 + 0 62 + -22x = -48 Add '-62' to each side of the equation. 62 + -62 + -22x = -48 + -62 Combine like terms: 62 + -62 = 0 0 + -22x = -48 + -62 -22x = -48 + -62 Combine like terms: -48 + -62 = -110 -22x = -110 Divide each side by '-22'. x = 5 Simplifying x = 5
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