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Simplifying 2x + 4 + -3x + 5 = -7 + -8 + 3x + 4x Reorder the terms: 4 + 5 + 2x + -3x = -7 + -8 + 3x + 4x Combine like terms: 4 + 5 = 9 9 + 2x + -3x = -7 + -8 + 3x + 4x Combine like terms: 2x + -3x = -1x 9 + -1x = -7 + -8 + 3x + 4x Combine like terms: -7 + -8 = -15 9 + -1x = -15 + 3x + 4x Combine like terms: 3x + 4x = 7x 9 + -1x = -15 + 7x Solving 9 + -1x = -15 + 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. 9 + -1x + -7x = -15 + 7x + -7x Combine like terms: -1x + -7x = -8x 9 + -8x = -15 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + -8x = -15 + 0 9 + -8x = -15 Add '-9' to each side of the equation. 9 + -9 + -8x = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = -15 + -9 -8x = -15 + -9 Combine like terms: -15 + -9 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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