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Simplifying 5x + -24 = 7(x + -6) Reorder the terms: -24 + 5x = 7(x + -6) Reorder the terms: -24 + 5x = 7(-6 + x) -24 + 5x = (-6 * 7 + x * 7) -24 + 5x = (-42 + 7x) Solving -24 + 5x = -42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -24 + 5x + -7x = -42 + 7x + -7x Combine like terms: 5x + -7x = -2x -24 + -2x = -42 + 7x + -7x Combine like terms: 7x + -7x = 0 -24 + -2x = -42 + 0 -24 + -2x = -42 Add '24' to each side of the equation. -24 + 24 + -2x = -42 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = -42 + 24 -2x = -42 + 24 Combine like terms: -42 + 24 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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