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Simplifying 14 + 7x + -6 + -15x + 5 = 5x + 7 + -12x + 5 + -12 Reorder the terms: 14 + -6 + 5 + 7x + -15x = 5x + 7 + -12x + 5 + -12 Combine like terms: 14 + -6 = 8 8 + 5 + 7x + -15x = 5x + 7 + -12x + 5 + -12 Combine like terms: 8 + 5 = 13 13 + 7x + -15x = 5x + 7 + -12x + 5 + -12 Combine like terms: 7x + -15x = -8x 13 + -8x = 5x + 7 + -12x + 5 + -12 Reorder the terms: 13 + -8x = 7 + 5 + -12 + 5x + -12x Combine like terms: 7 + 5 = 12 13 + -8x = 12 + -12 + 5x + -12x Combine like terms: 12 + -12 = 0 13 + -8x = 0 + 5x + -12x 13 + -8x = 5x + -12x Combine like terms: 5x + -12x = -7x 13 + -8x = -7x Solving 13 + -8x = -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. 13 + -8x + 7x = -7x + 7x Combine like terms: -8x + 7x = -1x 13 + -1x = -7x + 7x Combine like terms: -7x + 7x = 0 13 + -1x = 0 Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13
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