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Simplifying 3x + -1(-7) + 2x + -1(-1) = 14x + -1(-2) + -4 + -1x Multiply -1 * -7 3x + 7 + 2x + -1(-1) = 14x + -1(-2) + -4 + -1x Multiply -1 * -1 3x + 7 + 2x + 1 = 14x + -1(-2) + -4 + -1x Reorder the terms: 7 + 1 + 3x + 2x = 14x + -1(-2) + -4 + -1x Combine like terms: 7 + 1 = 8 8 + 3x + 2x = 14x + -1(-2) + -4 + -1x Combine like terms: 3x + 2x = 5x 8 + 5x = 14x + -1(-2) + -4 + -1x Multiply -1 * -2 8 + 5x = 14x + 2 + -4 + -1x Reorder the terms: 8 + 5x = 2 + -4 + 14x + -1x Combine like terms: 2 + -4 = -2 8 + 5x = -2 + 14x + -1x Combine like terms: 14x + -1x = 13x 8 + 5x = -2 + 13x Solving 8 + 5x = -2 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 8 + 5x + -13x = -2 + 13x + -13x Combine like terms: 5x + -13x = -8x 8 + -8x = -2 + 13x + -13x Combine like terms: 13x + -13x = 0 8 + -8x = -2 + 0 8 + -8x = -2 Add '-8' to each side of the equation. 8 + -8 + -8x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = -2 + -8 -8x = -2 + -8 Combine like terms: -2 + -8 = -10 -8x = -10 Divide each side by '-8'. x = 1.25 Simplifying x = 1.25
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