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Simplifying -3(2y + 7) + (-5y + 6) + -8(1 + -2x) = 3 + -1x Reorder the terms: -3(7 + 2y) + (-5y + 6) + -8(1 + -2x) = 3 + -1x (7 * -3 + 2y * -3) + (-5y + 6) + -8(1 + -2x) = 3 + -1x (-21 + -6y) + (-5y + 6) + -8(1 + -2x) = 3 + -1x Reorder the terms: -21 + -6y + (6 + -5y) + -8(1 + -2x) = 3 + -1x Remove parenthesis around (6 + -5y) -21 + -6y + 6 + -5y + -8(1 + -2x) = 3 + -1x -21 + -6y + 6 + -5y + (1 * -8 + -2x * -8) = 3 + -1x -21 + -6y + 6 + -5y + (-8 + 16x) = 3 + -1x Reorder the terms: -21 + 6 + -8 + 16x + -6y + -5y = 3 + -1x Combine like terms: -21 + 6 = -15 -15 + -8 + 16x + -6y + -5y = 3 + -1x Combine like terms: -15 + -8 = -23 -23 + 16x + -6y + -5y = 3 + -1x Combine like terms: -6y + -5y = -11y -23 + 16x + -11y = 3 + -1x Solving -23 + 16x + -11y = 3 + -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. -23 + 16x + x + -11y = 3 + -1x + x Combine like terms: 16x + x = 17x -23 + 17x + -11y = 3 + -1x + x Combine like terms: -1x + x = 0 -23 + 17x + -11y = 3 + 0 -23 + 17x + -11y = 3 Add '23' to each side of the equation. -23 + 17x + 23 + -11y = 3 + 23 Reorder the terms: -23 + 23 + 17x + -11y = 3 + 23 Combine like terms: -23 + 23 = 0 0 + 17x + -11y = 3 + 23 17x + -11y = 3 + 23 Combine like terms: 3 + 23 = 26 17x + -11y = 26 Add '11y' to each side of the equation. 17x + -11y + 11y = 26 + 11y Combine like terms: -11y + 11y = 0 17x + 0 = 26 + 11y 17x = 26 + 11y Divide each side by '17'. x = 1.529411765 + 0.6470588235y Simplifying x = 1.529411765 + 0.6470588235y
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