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Simplifying -5(x + 3) = 3x + -7 + 2(5x + 4) Reorder the terms: -5(3 + x) = 3x + -7 + 2(5x + 4) (3 * -5 + x * -5) = 3x + -7 + 2(5x + 4) (-15 + -5x) = 3x + -7 + 2(5x + 4) Reorder the terms: -15 + -5x = 3x + -7 + 2(4 + 5x) -15 + -5x = 3x + -7 + (4 * 2 + 5x * 2) -15 + -5x = 3x + -7 + (8 + 10x) Reorder the terms: -15 + -5x = -7 + 8 + 3x + 10x Combine like terms: -7 + 8 = 1 -15 + -5x = 1 + 3x + 10x Combine like terms: 3x + 10x = 13x -15 + -5x = 1 + 13x Solving -15 + -5x = 1 + 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. -15 + -5x + -13x = 1 + 13x + -13x Combine like terms: -5x + -13x = -18x -15 + -18x = 1 + 13x + -13x Combine like terms: 13x + -13x = 0 -15 + -18x = 1 + 0 -15 + -18x = 1 Add '15' to each side of the equation. -15 + 15 + -18x = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -18x = 1 + 15 -18x = 1 + 15 Combine like terms: 1 + 15 = 16 -18x = 16 Divide each side by '-18'. x = -0.8888888889 Simplifying x = -0.8888888889
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