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Simplifying 5(x + -3) = 6(3x + -7) Reorder the terms: 5(-3 + x) = 6(3x + -7) (-3 * 5 + x * 5) = 6(3x + -7) (-15 + 5x) = 6(3x + -7) Reorder the terms: -15 + 5x = 6(-7 + 3x) -15 + 5x = (-7 * 6 + 3x * 6) -15 + 5x = (-42 + 18x) Solving -15 + 5x = -42 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -15 + 5x + -18x = -42 + 18x + -18x Combine like terms: 5x + -18x = -13x -15 + -13x = -42 + 18x + -18x Combine like terms: 18x + -18x = 0 -15 + -13x = -42 + 0 -15 + -13x = -42 Add '15' to each side of the equation. -15 + 15 + -13x = -42 + 15 Combine like terms: -15 + 15 = 0 0 + -13x = -42 + 15 -13x = -42 + 15 Combine like terms: -42 + 15 = -27 -13x = -27 Divide each side by '-13'. x = 2.076923077 Simplifying x = 2.076923077
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