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Simplifying 6(x + -7) + -3 = 45 Reorder the terms: 6(-7 + x) + -3 = 45 (-7 * 6 + x * 6) + -3 = 45 (-42 + 6x) + -3 = 45 Reorder the terms: -42 + -3 + 6x = 45 Combine like terms: -42 + -3 = -45 -45 + 6x = 45 Solving -45 + 6x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 6x = 45 + 45 Combine like terms: -45 + 45 = 0 0 + 6x = 45 + 45 6x = 45 + 45 Combine like terms: 45 + 45 = 90 6x = 90 Divide each side by '6'. x = 15 Simplifying x = 15
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