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Simplifying 5(x + -3) + 4(x + 2) = 13 + -2x Reorder the terms: 5(-3 + x) + 4(x + 2) = 13 + -2x (-3 * 5 + x * 5) + 4(x + 2) = 13 + -2x (-15 + 5x) + 4(x + 2) = 13 + -2x Reorder the terms: -15 + 5x + 4(2 + x) = 13 + -2x -15 + 5x + (2 * 4 + x * 4) = 13 + -2x -15 + 5x + (8 + 4x) = 13 + -2x Reorder the terms: -15 + 8 + 5x + 4x = 13 + -2x Combine like terms: -15 + 8 = -7 -7 + 5x + 4x = 13 + -2x Combine like terms: 5x + 4x = 9x -7 + 9x = 13 + -2x Solving -7 + 9x = 13 + -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. -7 + 9x + 2x = 13 + -2x + 2x Combine like terms: 9x + 2x = 11x -7 + 11x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 -7 + 11x = 13 + 0 -7 + 11x = 13 Add '7' to each side of the equation. -7 + 7 + 11x = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 11x = 13 + 7 11x = 13 + 7 Combine like terms: 13 + 7 = 20 11x = 20 Divide each side by '11'. x = 1.818181818 Simplifying x = 1.818181818
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