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Simplifying 7x + 12 = 15x + -24 Reorder the terms: 12 + 7x = 15x + -24 Reorder the terms: 12 + 7x = -24 + 15x Solving 12 + 7x = -24 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 12 + 7x + -15x = -24 + 15x + -15x Combine like terms: 7x + -15x = -8x 12 + -8x = -24 + 15x + -15x Combine like terms: 15x + -15x = 0 12 + -8x = -24 + 0 12 + -8x = -24 Add '-12' to each side of the equation. 12 + -12 + -8x = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -24 + -12 -8x = -24 + -12 Combine like terms: -24 + -12 = -36 -8x = -36 Divide each side by '-8'. x = 4.5 Simplifying x = 4.5
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