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Simplifying 5x + 6(-3x + -5) = -37 + -6x Reorder the terms: 5x + 6(-5 + -3x) = -37 + -6x 5x + (-5 * 6 + -3x * 6) = -37 + -6x 5x + (-30 + -18x) = -37 + -6x Reorder the terms: -30 + 5x + -18x = -37 + -6x Combine like terms: 5x + -18x = -13x -30 + -13x = -37 + -6x Solving -30 + -13x = -37 + -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. -30 + -13x + 6x = -37 + -6x + 6x Combine like terms: -13x + 6x = -7x -30 + -7x = -37 + -6x + 6x Combine like terms: -6x + 6x = 0 -30 + -7x = -37 + 0 -30 + -7x = -37 Add '30' to each side of the equation. -30 + 30 + -7x = -37 + 30 Combine like terms: -30 + 30 = 0 0 + -7x = -37 + 30 -7x = -37 + 30 Combine like terms: -37 + 30 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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