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Simplifying 5(x + -2) = 6x + 3 + -5(x + -2) Reorder the terms: 5(-2 + x) = 6x + 3 + -5(x + -2) (-2 * 5 + x * 5) = 6x + 3 + -5(x + -2) (-10 + 5x) = 6x + 3 + -5(x + -2) Reorder the terms: -10 + 5x = 6x + 3 + -5(-2 + x) -10 + 5x = 6x + 3 + (-2 * -5 + x * -5) -10 + 5x = 6x + 3 + (10 + -5x) Reorder the terms: -10 + 5x = 3 + 10 + 6x + -5x Combine like terms: 3 + 10 = 13 -10 + 5x = 13 + 6x + -5x Combine like terms: 6x + -5x = 1x -10 + 5x = 13 + 1x Solving -10 + 5x = 13 + 1x 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. -10 + 5x + -1x = 13 + 1x + -1x Combine like terms: 5x + -1x = 4x -10 + 4x = 13 + 1x + -1x Combine like terms: 1x + -1x = 0 -10 + 4x = 13 + 0 -10 + 4x = 13 Add '10' to each side of the equation. -10 + 10 + 4x = 13 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = 13 + 10 4x = 13 + 10 Combine like terms: 13 + 10 = 23 4x = 23 Divide each side by '4'. x = 5.75 Simplifying x = 5.75
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