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Simplifying 3x + 7 + -2x + 5 = 2x + -8 + 5x + -4 Reorder the terms: 7 + 5 + 3x + -2x = 2x + -8 + 5x + -4 Combine like terms: 7 + 5 = 12 12 + 3x + -2x = 2x + -8 + 5x + -4 Combine like terms: 3x + -2x = 1x 12 + 1x = 2x + -8 + 5x + -4 Reorder the terms: 12 + 1x = -8 + -4 + 2x + 5x Combine like terms: -8 + -4 = -12 12 + 1x = -12 + 2x + 5x Combine like terms: 2x + 5x = 7x 12 + 1x = -12 + 7x Solving 12 + 1x = -12 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + 1x + -7x = -12 + 7x + -7x Combine like terms: 1x + -7x = -6x 12 + -6x = -12 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -6x = -12 + 0 12 + -6x = -12 Add '-12' to each side of the equation. 12 + -12 + -6x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = -12 + -12 -6x = -12 + -12 Combine like terms: -12 + -12 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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