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Simplifying 7x + -9x + 12 + -15 = 13x + -6x + -16 + -19 Reorder the terms: 12 + -15 + 7x + -9x = 13x + -6x + -16 + -19 Combine like terms: 12 + -15 = -3 -3 + 7x + -9x = 13x + -6x + -16 + -19 Combine like terms: 7x + -9x = -2x -3 + -2x = 13x + -6x + -16 + -19 Reorder the terms: -3 + -2x = -16 + -19 + 13x + -6x Combine like terms: -16 + -19 = -35 -3 + -2x = -35 + 13x + -6x Combine like terms: 13x + -6x = 7x -3 + -2x = -35 + 7x Solving -3 + -2x = -35 + 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. -3 + -2x + -7x = -35 + 7x + -7x Combine like terms: -2x + -7x = -9x -3 + -9x = -35 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + -9x = -35 + 0 -3 + -9x = -35 Add '3' to each side of the equation. -3 + 3 + -9x = -35 + 3 Combine like terms: -3 + 3 = 0 0 + -9x = -35 + 3 -9x = -35 + 3 Combine like terms: -35 + 3 = -32 -9x = -32 Divide each side by '-9'. x = 3.555555556 Simplifying x = 3.555555556
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