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Simplifying 6x + 36 = 5(2x + -2) Reorder the terms: 36 + 6x = 5(2x + -2) Reorder the terms: 36 + 6x = 5(-2 + 2x) 36 + 6x = (-2 * 5 + 2x * 5) 36 + 6x = (-10 + 10x) Solving 36 + 6x = -10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 36 + 6x + -10x = -10 + 10x + -10x Combine like terms: 6x + -10x = -4x 36 + -4x = -10 + 10x + -10x Combine like terms: 10x + -10x = 0 36 + -4x = -10 + 0 36 + -4x = -10 Add '-36' to each side of the equation. 36 + -36 + -4x = -10 + -36 Combine like terms: 36 + -36 = 0 0 + -4x = -10 + -36 -4x = -10 + -36 Combine like terms: -10 + -36 = -46 -4x = -46 Divide each side by '-4'. x = 11.5 Simplifying x = 11.5
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