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Simplifying 3x + 3 + -1x + -8 + 5x + 12 = 4x + -12 + -6x + 10 Reorder the terms: 3 + -8 + 12 + 3x + -1x + 5x = 4x + -12 + -6x + 10 Combine like terms: 3 + -8 = -5 -5 + 12 + 3x + -1x + 5x = 4x + -12 + -6x + 10 Combine like terms: -5 + 12 = 7 7 + 3x + -1x + 5x = 4x + -12 + -6x + 10 Combine like terms: 3x + -1x = 2x 7 + 2x + 5x = 4x + -12 + -6x + 10 Combine like terms: 2x + 5x = 7x 7 + 7x = 4x + -12 + -6x + 10 Reorder the terms: 7 + 7x = -12 + 10 + 4x + -6x Combine like terms: -12 + 10 = -2 7 + 7x = -2 + 4x + -6x Combine like terms: 4x + -6x = -2x 7 + 7x = -2 + -2x Solving 7 + 7x = -2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 7 + 7x + 2x = -2 + -2x + 2x Combine like terms: 7x + 2x = 9x 7 + 9x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 9x = -2 + 0 7 + 9x = -2 Add '-7' to each side of the equation. 7 + -7 + 9x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = -2 + -7 9x = -2 + -7 Combine like terms: -2 + -7 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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