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Simplifying 5(x + -3) + 2x = 4(13 + -2x) Reorder the terms: 5(-3 + x) + 2x = 4(13 + -2x) (-3 * 5 + x * 5) + 2x = 4(13 + -2x) (-15 + 5x) + 2x = 4(13 + -2x) Combine like terms: 5x + 2x = 7x -15 + 7x = 4(13 + -2x) -15 + 7x = (13 * 4 + -2x * 4) -15 + 7x = (52 + -8x) Solving -15 + 7x = 52 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -15 + 7x + 8x = 52 + -8x + 8x Combine like terms: 7x + 8x = 15x -15 + 15x = 52 + -8x + 8x Combine like terms: -8x + 8x = 0 -15 + 15x = 52 + 0 -15 + 15x = 52 Add '15' to each side of the equation. -15 + 15 + 15x = 52 + 15 Combine like terms: -15 + 15 = 0 0 + 15x = 52 + 15 15x = 52 + 15 Combine like terms: 52 + 15 = 67 15x = 67 Divide each side by '15'. x = 4.466666667 Simplifying x = 4.466666667
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