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Simplifying 9x + -12 = 4x + -7 + -1(4x + 12) + 9 Reorder the terms: -12 + 9x = 4x + -7 + -1(4x + 12) + 9 Reorder the terms: -12 + 9x = 4x + -7 + -1(12 + 4x) + 9 -12 + 9x = 4x + -7 + (12 * -1 + 4x * -1) + 9 -12 + 9x = 4x + -7 + (-12 + -4x) + 9 Reorder the terms: -12 + 9x = -7 + -12 + 9 + 4x + -4x Combine like terms: -7 + -12 = -19 -12 + 9x = -19 + 9 + 4x + -4x Combine like terms: -19 + 9 = -10 -12 + 9x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 9x = -10 + 0 -12 + 9x = -10 Solving -12 + 9x = -10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 9x = -10 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = -10 + 12 9x = -10 + 12 Combine like terms: -10 + 12 = 2 9x = 2 Divide each side by '9'. x = 0.2222222222 Simplifying x = 0.2222222222
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