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Simplifying 12(0.5 + -5) = -6(-1x + 10) Combine like terms: 0.5 + -5 = -4.5 12(-4.5) = -6(-1x + 10) Multiply 12 * -4.5 -54 = -6(-1x + 10) Reorder the terms: -54 = -6(10 + -1x) -54 = (10 * -6 + -1x * -6) -54 = (-60 + 6x) Solving -54 = -60 + 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. -54 + -6x = -60 + 6x + -6x Combine like terms: 6x + -6x = 0 -54 + -6x = -60 + 0 -54 + -6x = -60 Add '54' to each side of the equation. -54 + 54 + -6x = -60 + 54 Combine like terms: -54 + 54 = 0 0 + -6x = -60 + 54 -6x = -60 + 54 Combine like terms: -60 + 54 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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