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Simplifying 2(2x + -3) + -5(x + 1) = 2x + -7 Reorder the terms: 2(-3 + 2x) + -5(x + 1) = 2x + -7 (-3 * 2 + 2x * 2) + -5(x + 1) = 2x + -7 (-6 + 4x) + -5(x + 1) = 2x + -7 Reorder the terms: -6 + 4x + -5(1 + x) = 2x + -7 -6 + 4x + (1 * -5 + x * -5) = 2x + -7 -6 + 4x + (-5 + -5x) = 2x + -7 Reorder the terms: -6 + -5 + 4x + -5x = 2x + -7 Combine like terms: -6 + -5 = -11 -11 + 4x + -5x = 2x + -7 Combine like terms: 4x + -5x = -1x -11 + -1x = 2x + -7 Reorder the terms: -11 + -1x = -7 + 2x Solving -11 + -1x = -7 + 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. -11 + -1x + -2x = -7 + 2x + -2x Combine like terms: -1x + -2x = -3x -11 + -3x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -11 + -3x = -7 + 0 -11 + -3x = -7 Add '11' to each side of the equation. -11 + 11 + -3x = -7 + 11 Combine like terms: -11 + 11 = 0 0 + -3x = -7 + 11 -3x = -7 + 11 Combine like terms: -7 + 11 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333
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