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Simplifying -4x + -3 + 2(x + 1) = -6x + -7 Reorder the terms: -4x + -3 + 2(1 + x) = -6x + -7 -4x + -3 + (1 * 2 + x * 2) = -6x + -7 -4x + -3 + (2 + 2x) = -6x + -7 Reorder the terms: -3 + 2 + -4x + 2x = -6x + -7 Combine like terms: -3 + 2 = -1 -1 + -4x + 2x = -6x + -7 Combine like terms: -4x + 2x = -2x -1 + -2x = -6x + -7 Reorder the terms: -1 + -2x = -7 + -6x Solving -1 + -2x = -7 + -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. -1 + -2x + 6x = -7 + -6x + 6x Combine like terms: -2x + 6x = 4x -1 + 4x = -7 + -6x + 6x Combine like terms: -6x + 6x = 0 -1 + 4x = -7 + 0 -1 + 4x = -7 Add '1' to each side of the equation. -1 + 1 + 4x = -7 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = -7 + 1 4x = -7 + 1 Combine like terms: -7 + 1 = -6 4x = -6 Divide each side by '4'. x = -1.5 Simplifying x = -1.5
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