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Simplifying 8 + -6x + -4 = -47 + 3x + -12 Reorder the terms: 8 + -4 + -6x = -47 + 3x + -12 Combine like terms: 8 + -4 = 4 4 + -6x = -47 + 3x + -12 Reorder the terms: 4 + -6x = -47 + -12 + 3x Combine like terms: -47 + -12 = -59 4 + -6x = -59 + 3x Solving 4 + -6x = -59 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + -6x + -3x = -59 + 3x + -3x Combine like terms: -6x + -3x = -9x 4 + -9x = -59 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -9x = -59 + 0 4 + -9x = -59 Add '-4' to each side of the equation. 4 + -4 + -9x = -59 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = -59 + -4 -9x = -59 + -4 Combine like terms: -59 + -4 = -63 -9x = -63 Divide each side by '-9'. x = 7 Simplifying x = 7
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