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Simplifying 7(6x + 2) + -1(-4x) + 7y + -6 = 0 Reorder the terms: 7(2 + 6x) + -1(-4x) + 7y + -6 = 0 (2 * 7 + 6x * 7) + -1(-4x) + 7y + -6 = 0 (14 + 42x) + -1(-4x) + 7y + -6 = 0 Remove parenthesis around (-4x) 14 + 42x + -1 * -4x + 7y + -6 = 0 Multiply -1 * -4 14 + 42x + 4x + 7y + -6 = 0 Reorder the terms: 14 + -6 + 42x + 4x + 7y = 0 Combine like terms: 14 + -6 = 8 8 + 42x + 4x + 7y = 0 Combine like terms: 42x + 4x = 46x 8 + 46x + 7y = 0 Solving 8 + 46x + 7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 46x + -8 + 7y = 0 + -8 Reorder the terms: 8 + -8 + 46x + 7y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 46x + 7y = 0 + -8 46x + 7y = 0 + -8 Combine like terms: 0 + -8 = -8 46x + 7y = -8 Add '-7y' to each side of the equation. 46x + 7y + -7y = -8 + -7y Combine like terms: 7y + -7y = 0 46x + 0 = -8 + -7y 46x = -8 + -7y Divide each side by '46'. x = -0.1739130435 + -0.152173913y Simplifying x = -0.1739130435 + -0.152173913y
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