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Simplifying -2(x + 3) + 5(x + -2) = 6 + -1x Reorder the terms: -2(3 + x) + 5(x + -2) = 6 + -1x (3 * -2 + x * -2) + 5(x + -2) = 6 + -1x (-6 + -2x) + 5(x + -2) = 6 + -1x Reorder the terms: -6 + -2x + 5(-2 + x) = 6 + -1x -6 + -2x + (-2 * 5 + x * 5) = 6 + -1x -6 + -2x + (-10 + 5x) = 6 + -1x Reorder the terms: -6 + -10 + -2x + 5x = 6 + -1x Combine like terms: -6 + -10 = -16 -16 + -2x + 5x = 6 + -1x Combine like terms: -2x + 5x = 3x -16 + 3x = 6 + -1x Solving -16 + 3x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -16 + 3x + x = 6 + -1x + x Combine like terms: 3x + x = 4x -16 + 4x = 6 + -1x + x Combine like terms: -1x + x = 0 -16 + 4x = 6 + 0 -16 + 4x = 6 Add '16' to each side of the equation. -16 + 16 + 4x = 6 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = 6 + 16 4x = 6 + 16 Combine like terms: 6 + 16 = 22 4x = 22 Divide each side by '4'. x = 5.5 Simplifying x = 5.5
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