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Simplifying 5x + -37 = -6(3 + -4x) Reorder the terms: -37 + 5x = -6(3 + -4x) -37 + 5x = (3 * -6 + -4x * -6) -37 + 5x = (-18 + 24x) Solving -37 + 5x = -18 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -37 + 5x + -24x = -18 + 24x + -24x Combine like terms: 5x + -24x = -19x -37 + -19x = -18 + 24x + -24x Combine like terms: 24x + -24x = 0 -37 + -19x = -18 + 0 -37 + -19x = -18 Add '37' to each side of the equation. -37 + 37 + -19x = -18 + 37 Combine like terms: -37 + 37 = 0 0 + -19x = -18 + 37 -19x = -18 + 37 Combine like terms: -18 + 37 = 19 -19x = 19 Divide each side by '-19'. x = -1 Simplifying x = -1
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