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Simplifying 7(4x + -3y + 6) = 0 Reorder the terms: 7(6 + 4x + -3y) = 0 (6 * 7 + 4x * 7 + -3y * 7) = 0 (42 + 28x + -21y) = 0 Solving 42 + 28x + -21y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + 28x + -42 + -21y = 0 + -42 Reorder the terms: 42 + -42 + 28x + -21y = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 28x + -21y = 0 + -42 28x + -21y = 0 + -42 Combine like terms: 0 + -42 = -42 28x + -21y = -42 Add '21y' to each side of the equation. 28x + -21y + 21y = -42 + 21y Combine like terms: -21y + 21y = 0 28x + 0 = -42 + 21y 28x = -42 + 21y Divide each side by '28'. x = -1.5 + 0.75y Simplifying x = -1.5 + 0.75y
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