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Simplifying 7x + 10 = 15x + 42 Reorder the terms: 10 + 7x = 15x + 42 Reorder the terms: 10 + 7x = 42 + 15x Solving 10 + 7x = 42 + 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. 10 + 7x + -15x = 42 + 15x + -15x Combine like terms: 7x + -15x = -8x 10 + -8x = 42 + 15x + -15x Combine like terms: 15x + -15x = 0 10 + -8x = 42 + 0 10 + -8x = 42 Add '-10' to each side of the equation. 10 + -10 + -8x = 42 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = 42 + -10 -8x = 42 + -10 Combine like terms: 42 + -10 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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