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Simplifying -7(4x + -6) = -1x + 15 Reorder the terms: -7(-6 + 4x) = -1x + 15 (-6 * -7 + 4x * -7) = -1x + 15 (42 + -28x) = -1x + 15 Reorder the terms: 42 + -28x = 15 + -1x Solving 42 + -28x = 15 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 42 + -28x + x = 15 + -1x + x Combine like terms: -28x + x = -27x 42 + -27x = 15 + -1x + x Combine like terms: -1x + x = 0 42 + -27x = 15 + 0 42 + -27x = 15 Add '-42' to each side of the equation. 42 + -42 + -27x = 15 + -42 Combine like terms: 42 + -42 = 0 0 + -27x = 15 + -42 -27x = 15 + -42 Combine like terms: 15 + -42 = -27 -27x = -27 Divide each side by '-27'. x = 1 Simplifying x = 1
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