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Simplifying 5x + 3(x + -2) = 10 + 13x Reorder the terms: 5x + 3(-2 + x) = 10 + 13x 5x + (-2 * 3 + x * 3) = 10 + 13x 5x + (-6 + 3x) = 10 + 13x Reorder the terms: -6 + 5x + 3x = 10 + 13x Combine like terms: 5x + 3x = 8x -6 + 8x = 10 + 13x Solving -6 + 8x = 10 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -6 + 8x + -13x = 10 + 13x + -13x Combine like terms: 8x + -13x = -5x -6 + -5x = 10 + 13x + -13x Combine like terms: 13x + -13x = 0 -6 + -5x = 10 + 0 -6 + -5x = 10 Add '6' to each side of the equation. -6 + 6 + -5x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 10 + 6 -5x = 10 + 6 Combine like terms: 10 + 6 = 16 -5x = 16 Divide each side by '-5'. x = -3.2 Simplifying x = -3.2
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