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Simplifying -6(5x + -7) + -3x = 7(x + -6) Reorder the terms: -6(-7 + 5x) + -3x = 7(x + -6) (-7 * -6 + 5x * -6) + -3x = 7(x + -6) (42 + -30x) + -3x = 7(x + -6) Combine like terms: -30x + -3x = -33x 42 + -33x = 7(x + -6) Reorder the terms: 42 + -33x = 7(-6 + x) 42 + -33x = (-6 * 7 + x * 7) 42 + -33x = (-42 + 7x) Solving 42 + -33x = -42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 42 + -33x + -7x = -42 + 7x + -7x Combine like terms: -33x + -7x = -40x 42 + -40x = -42 + 7x + -7x Combine like terms: 7x + -7x = 0 42 + -40x = -42 + 0 42 + -40x = -42 Add '-42' to each side of the equation. 42 + -42 + -40x = -42 + -42 Combine like terms: 42 + -42 = 0 0 + -40x = -42 + -42 -40x = -42 + -42 Combine like terms: -42 + -42 = -84 -40x = -84 Divide each side by '-40'. x = 2.1 Simplifying x = 2.1
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