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Simplifying -3(2x + 2) + -1 = -5(x + 1) + 3x Reorder the terms: -3(2 + 2x) + -1 = -5(x + 1) + 3x (2 * -3 + 2x * -3) + -1 = -5(x + 1) + 3x (-6 + -6x) + -1 = -5(x + 1) + 3x Reorder the terms: -6 + -1 + -6x = -5(x + 1) + 3x Combine like terms: -6 + -1 = -7 -7 + -6x = -5(x + 1) + 3x Reorder the terms: -7 + -6x = -5(1 + x) + 3x -7 + -6x = (1 * -5 + x * -5) + 3x -7 + -6x = (-5 + -5x) + 3x Combine like terms: -5x + 3x = -2x -7 + -6x = -5 + -2x Solving -7 + -6x = -5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -7 + -6x + 2x = -5 + -2x + 2x Combine like terms: -6x + 2x = -4x -7 + -4x = -5 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + -4x = -5 + 0 -7 + -4x = -5 Add '7' to each side of the equation. -7 + 7 + -4x = -5 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = -5 + 7 -4x = -5 + 7 Combine like terms: -5 + 7 = 2 -4x = 2 Divide each side by '-4'. x = -0.5 Simplifying x = -0.5
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