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Simplifying 5(6 + -3) + -1(x + -6) = 3x + -7x Combine like terms: 6 + -3 = 3 5(3) + -1(x + -6) = 3x + -7x Multiply 5 * 3 15 + -1(x + -6) = 3x + -7x Reorder the terms: 15 + -1(-6 + x) = 3x + -7x 15 + (-6 * -1 + x * -1) = 3x + -7x 15 + (6 + -1x) = 3x + -7x Combine like terms: 15 + 6 = 21 21 + -1x = 3x + -7x Combine like terms: 3x + -7x = -4x 21 + -1x = -4x Solving 21 + -1x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 21 + -1x + 4x = -4x + 4x Combine like terms: -1x + 4x = 3x 21 + 3x = -4x + 4x Combine like terms: -4x + 4x = 0 21 + 3x = 0 Add '-21' to each side of the equation. 21 + -21 + 3x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = 0 + -21 3x = 0 + -21 Combine like terms: 0 + -21 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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