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Simplifying 1 + -3x + 4 = -2x + -2 Reorder the terms: 1 + 4 + -3x = -2x + -2 Combine like terms: 1 + 4 = 5 5 + -3x = -2x + -2 Reorder the terms: 5 + -3x = -2 + -2x Solving 5 + -3x = -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. 5 + -3x + 2x = -2 + -2x + 2x Combine like terms: -3x + 2x = -1x 5 + -1x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + -1x = -2 + 0 5 + -1x = -2 Add '-5' to each side of the equation. 5 + -5 + -1x = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -2 + -5 -1x = -2 + -5 Combine like terms: -2 + -5 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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