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Simplifying 42 + -13x = -4(4x + 6) Reorder the terms: 42 + -13x = -4(6 + 4x) 42 + -13x = (6 * -4 + 4x * -4) 42 + -13x = (-24 + -16x) Solving 42 + -13x = -24 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 42 + -13x + 16x = -24 + -16x + 16x Combine like terms: -13x + 16x = 3x 42 + 3x = -24 + -16x + 16x Combine like terms: -16x + 16x = 0 42 + 3x = -24 + 0 42 + 3x = -24 Add '-42' to each side of the equation. 42 + -42 + 3x = -24 + -42 Combine like terms: 42 + -42 = 0 0 + 3x = -24 + -42 3x = -24 + -42 Combine like terms: -24 + -42 = -66 3x = -66 Divide each side by '3'. x = -22 Simplifying x = -22
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