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Simplifying -3x + 18 + 4x + -6x + -10 = 3x + -13 + 6x + -1x + 8 Reorder the terms: 18 + -10 + -3x + 4x + -6x = 3x + -13 + 6x + -1x + 8 Combine like terms: 18 + -10 = 8 8 + -3x + 4x + -6x = 3x + -13 + 6x + -1x + 8 Combine like terms: -3x + 4x = 1x 8 + 1x + -6x = 3x + -13 + 6x + -1x + 8 Combine like terms: 1x + -6x = -5x 8 + -5x = 3x + -13 + 6x + -1x + 8 Reorder the terms: 8 + -5x = -13 + 8 + 3x + 6x + -1x Combine like terms: -13 + 8 = -5 8 + -5x = -5 + 3x + 6x + -1x Combine like terms: 3x + 6x = 9x 8 + -5x = -5 + 9x + -1x Combine like terms: 9x + -1x = 8x 8 + -5x = -5 + 8x Solving 8 + -5x = -5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 8 + -5x + -8x = -5 + 8x + -8x Combine like terms: -5x + -8x = -13x 8 + -13x = -5 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -13x = -5 + 0 8 + -13x = -5 Add '-8' to each side of the equation. 8 + -8 + -13x = -5 + -8 Combine like terms: 8 + -8 = 0 0 + -13x = -5 + -8 -13x = -5 + -8 Combine like terms: -5 + -8 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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