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Simplifying 4x + 8 + -1(-3x + -7) = -6x + -9 Reorder the terms: 4x + 8 + -1(-7 + -3x) = -6x + -9 4x + 8 + (-7 * -1 + -3x * -1) = -6x + -9 4x + 8 + (7 + 3x) = -6x + -9 Reorder the terms: 8 + 7 + 4x + 3x = -6x + -9 Combine like terms: 8 + 7 = 15 15 + 4x + 3x = -6x + -9 Combine like terms: 4x + 3x = 7x 15 + 7x = -6x + -9 Reorder the terms: 15 + 7x = -9 + -6x Solving 15 + 7x = -9 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 15 + 7x + 6x = -9 + -6x + 6x Combine like terms: 7x + 6x = 13x 15 + 13x = -9 + -6x + 6x Combine like terms: -6x + 6x = 0 15 + 13x = -9 + 0 15 + 13x = -9 Add '-15' to each side of the equation. 15 + -15 + 13x = -9 + -15 Combine like terms: 15 + -15 = 0 0 + 13x = -9 + -15 13x = -9 + -15 Combine like terms: -9 + -15 = -24 13x = -24 Divide each side by '13'. x = -1.846153846 Simplifying x = -1.846153846
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