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Simplifying -3x + -5 + -4(x + 1) = 3x + 6 Reorder the terms: -3x + -5 + -4(1 + x) = 3x + 6 -3x + -5 + (1 * -4 + x * -4) = 3x + 6 -3x + -5 + (-4 + -4x) = 3x + 6 Reorder the terms: -5 + -4 + -3x + -4x = 3x + 6 Combine like terms: -5 + -4 = -9 -9 + -3x + -4x = 3x + 6 Combine like terms: -3x + -4x = -7x -9 + -7x = 3x + 6 Reorder the terms: -9 + -7x = 6 + 3x Solving -9 + -7x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + -7x + -3x = 6 + 3x + -3x Combine like terms: -7x + -3x = -10x -9 + -10x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + -10x = 6 + 0 -9 + -10x = 6 Add '9' to each side of the equation. -9 + 9 + -10x = 6 + 9 Combine like terms: -9 + 9 = 0 0 + -10x = 6 + 9 -10x = 6 + 9 Combine like terms: 6 + 9 = 15 -10x = 15 Divide each side by '-10'. x = -1.5 Simplifying x = -1.5
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