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Simplifying 5(x + -3) + -1(6x + 3) = 3(2x + 5) Reorder the terms: 5(-3 + x) + -1(6x + 3) = 3(2x + 5) (-3 * 5 + x * 5) + -1(6x + 3) = 3(2x + 5) (-15 + 5x) + -1(6x + 3) = 3(2x + 5) Reorder the terms: -15 + 5x + -1(3 + 6x) = 3(2x + 5) -15 + 5x + (3 * -1 + 6x * -1) = 3(2x + 5) -15 + 5x + (-3 + -6x) = 3(2x + 5) Reorder the terms: -15 + -3 + 5x + -6x = 3(2x + 5) Combine like terms: -15 + -3 = -18 -18 + 5x + -6x = 3(2x + 5) Combine like terms: 5x + -6x = -1x -18 + -1x = 3(2x + 5) Reorder the terms: -18 + -1x = 3(5 + 2x) -18 + -1x = (5 * 3 + 2x * 3) -18 + -1x = (15 + 6x) Solving -18 + -1x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -18 + -1x + -6x = 15 + 6x + -6x Combine like terms: -1x + -6x = -7x -18 + -7x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 -18 + -7x = 15 + 0 -18 + -7x = 15 Add '18' to each side of the equation. -18 + 18 + -7x = 15 + 18 Combine like terms: -18 + 18 = 0 0 + -7x = 15 + 18 -7x = 15 + 18 Combine like terms: 15 + 18 = 33 -7x = 33 Divide each side by '-7'. x = -4.714285714 Simplifying x = -4.714285714
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