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