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Simplifying 10x + -7 + 5 + -2 = 4x + 8 + -13x + 7 Reorder the terms: -7 + 5 + -2 + 10x = 4x + 8 + -13x + 7 Combine like terms: -7 + 5 = -2 -2 + -2 + 10x = 4x + 8 + -13x + 7 Combine like terms: -2 + -2 = -4 -4 + 10x = 4x + 8 + -13x + 7 Reorder the terms: -4 + 10x = 8 + 7 + 4x + -13x Combine like terms: 8 + 7 = 15 -4 + 10x = 15 + 4x + -13x Combine like terms: 4x + -13x = -9x -4 + 10x = 15 + -9x Solving -4 + 10x = 15 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -4 + 10x + 9x = 15 + -9x + 9x Combine like terms: 10x + 9x = 19x -4 + 19x = 15 + -9x + 9x Combine like terms: -9x + 9x = 0 -4 + 19x = 15 + 0 -4 + 19x = 15 Add '4' to each side of the equation. -4 + 4 + 19x = 15 + 4 Combine like terms: -4 + 4 = 0 0 + 19x = 15 + 4 19x = 15 + 4 Combine like terms: 15 + 4 = 19 19x = 19 Divide each side by '19'. x = 1 Simplifying x = 1
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