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Simplifying 5x + 4 + -3x + -2 = -7 + 8 + -2x + -15 Reorder the terms: 4 + -2 + 5x + -3x = -7 + 8 + -2x + -15 Combine like terms: 4 + -2 = 2 2 + 5x + -3x = -7 + 8 + -2x + -15 Combine like terms: 5x + -3x = 2x 2 + 2x = -7 + 8 + -2x + -15 Reorder the terms: 2 + 2x = -7 + 8 + -15 + -2x Combine like terms: -7 + 8 = 1 2 + 2x = 1 + -15 + -2x Combine like terms: 1 + -15 = -14 2 + 2x = -14 + -2x Solving 2 + 2x = -14 + -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. 2 + 2x + 2x = -14 + -2x + 2x Combine like terms: 2x + 2x = 4x 2 + 4x = -14 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 4x = -14 + 0 2 + 4x = -14 Add '-2' to each side of the equation. 2 + -2 + 4x = -14 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = -14 + -2 4x = -14 + -2 Combine like terms: -14 + -2 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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