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Simplifying 7x + -10 = 6 + 9(x + 12) Reorder the terms: -10 + 7x = 6 + 9(x + 12) Reorder the terms: -10 + 7x = 6 + 9(12 + x) -10 + 7x = 6 + (12 * 9 + x * 9) -10 + 7x = 6 + (108 + 9x) Combine like terms: 6 + 108 = 114 -10 + 7x = 114 + 9x Solving -10 + 7x = 114 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -10 + 7x + -9x = 114 + 9x + -9x Combine like terms: 7x + -9x = -2x -10 + -2x = 114 + 9x + -9x Combine like terms: 9x + -9x = 0 -10 + -2x = 114 + 0 -10 + -2x = 114 Add '10' to each side of the equation. -10 + 10 + -2x = 114 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = 114 + 10 -2x = 114 + 10 Combine like terms: 114 + 10 = 124 -2x = 124 Divide each side by '-2'. x = -62 Simplifying x = -62
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