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Simplifying 5(3x + 5) = 6(x + -3) + -18 Reorder the terms: 5(5 + 3x) = 6(x + -3) + -18 (5 * 5 + 3x * 5) = 6(x + -3) + -18 (25 + 15x) = 6(x + -3) + -18 Reorder the terms: 25 + 15x = 6(-3 + x) + -18 25 + 15x = (-3 * 6 + x * 6) + -18 25 + 15x = (-18 + 6x) + -18 Reorder the terms: 25 + 15x = -18 + -18 + 6x Combine like terms: -18 + -18 = -36 25 + 15x = -36 + 6x Solving 25 + 15x = -36 + 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. 25 + 15x + -6x = -36 + 6x + -6x Combine like terms: 15x + -6x = 9x 25 + 9x = -36 + 6x + -6x Combine like terms: 6x + -6x = 0 25 + 9x = -36 + 0 25 + 9x = -36 Add '-25' to each side of the equation. 25 + -25 + 9x = -36 + -25 Combine like terms: 25 + -25 = 0 0 + 9x = -36 + -25 9x = -36 + -25 Combine like terms: -36 + -25 = -61 9x = -61 Divide each side by '9'. x = -6.777777778 Simplifying x = -6.777777778
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