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Simplifying 3(x + -8) + -6 = -4(-5x + 7) + -7x Reorder the terms: 3(-8 + x) + -6 = -4(-5x + 7) + -7x (-8 * 3 + x * 3) + -6 = -4(-5x + 7) + -7x (-24 + 3x) + -6 = -4(-5x + 7) + -7x Reorder the terms: -24 + -6 + 3x = -4(-5x + 7) + -7x Combine like terms: -24 + -6 = -30 -30 + 3x = -4(-5x + 7) + -7x Reorder the terms: -30 + 3x = -4(7 + -5x) + -7x -30 + 3x = (7 * -4 + -5x * -4) + -7x -30 + 3x = (-28 + 20x) + -7x Combine like terms: 20x + -7x = 13x -30 + 3x = -28 + 13x Solving -30 + 3x = -28 + 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. -30 + 3x + -13x = -28 + 13x + -13x Combine like terms: 3x + -13x = -10x -30 + -10x = -28 + 13x + -13x Combine like terms: 13x + -13x = 0 -30 + -10x = -28 + 0 -30 + -10x = -28 Add '30' to each side of the equation. -30 + 30 + -10x = -28 + 30 Combine like terms: -30 + 30 = 0 0 + -10x = -28 + 30 -10x = -28 + 30 Combine like terms: -28 + 30 = 2 -10x = 2 Divide each side by '-10'. x = -0.2 Simplifying x = -0.2
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