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Simplifying 13x + 23 + -6x + 7 = 5x + -15 + -1x + x + 7 Reorder the terms: 23 + 7 + 13x + -6x = 5x + -15 + -1x + x + 7 Combine like terms: 23 + 7 = 30 30 + 13x + -6x = 5x + -15 + -1x + x + 7 Combine like terms: 13x + -6x = 7x 30 + 7x = 5x + -15 + -1x + x + 7 Reorder the terms: 30 + 7x = -15 + 7 + 5x + -1x + x Combine like terms: -15 + 7 = -8 30 + 7x = -8 + 5x + -1x + x Combine like terms: 5x + -1x = 4x 30 + 7x = -8 + 4x + x Combine like terms: 4x + x = 5x 30 + 7x = -8 + 5x Solving 30 + 7x = -8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 30 + 7x + -5x = -8 + 5x + -5x Combine like terms: 7x + -5x = 2x 30 + 2x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + 2x = -8 + 0 30 + 2x = -8 Add '-30' to each side of the equation. 30 + -30 + 2x = -8 + -30 Combine like terms: 30 + -30 = 0 0 + 2x = -8 + -30 2x = -8 + -30 Combine like terms: -8 + -30 = -38 2x = -38 Divide each side by '2'. x = -19 Simplifying x = -19
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