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Simplifying 2(2x + -3) + -5(1x + 1) = x + -4 Reorder the terms: 2(-3 + 2x) + -5(1x + 1) = x + -4 (-3 * 2 + 2x * 2) + -5(1x + 1) = x + -4 (-6 + 4x) + -5(1x + 1) = x + -4 Reorder the terms: -6 + 4x + -5(1 + 1x) = x + -4 -6 + 4x + (1 * -5 + 1x * -5) = x + -4 -6 + 4x + (-5 + -5x) = x + -4 Reorder the terms: -6 + -5 + 4x + -5x = x + -4 Combine like terms: -6 + -5 = -11 -11 + 4x + -5x = x + -4 Combine like terms: 4x + -5x = -1x -11 + -1x = x + -4 Reorder the terms: -11 + -1x = -4 + x Solving -11 + -1x = -4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -11 + -1x + -1x = -4 + x + -1x Combine like terms: -1x + -1x = -2x -11 + -2x = -4 + x + -1x Combine like terms: x + -1x = 0 -11 + -2x = -4 + 0 -11 + -2x = -4 Add '11' to each side of the equation. -11 + 11 + -2x = -4 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = -4 + 11 -2x = -4 + 11 Combine like terms: -4 + 11 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5
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