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Simplifying 5x + 12 + -7x = -10 + 4x + -8 Reorder the terms: 12 + 5x + -7x = -10 + 4x + -8 Combine like terms: 5x + -7x = -2x 12 + -2x = -10 + 4x + -8 Reorder the terms: 12 + -2x = -10 + -8 + 4x Combine like terms: -10 + -8 = -18 12 + -2x = -18 + 4x Solving 12 + -2x = -18 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + -2x + -4x = -18 + 4x + -4x Combine like terms: -2x + -4x = -6x 12 + -6x = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -6x = -18 + 0 12 + -6x = -18 Add '-12' to each side of the equation. 12 + -12 + -6x = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = -18 + -12 -6x = -18 + -12 Combine like terms: -18 + -12 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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