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Simplifying 17x + -8 + -11y = 3(2x + -4) + 4 Reorder the terms: -8 + 17x + -11y = 3(2x + -4) + 4 Reorder the terms: -8 + 17x + -11y = 3(-4 + 2x) + 4 -8 + 17x + -11y = (-4 * 3 + 2x * 3) + 4 -8 + 17x + -11y = (-12 + 6x) + 4 Reorder the terms: -8 + 17x + -11y = -12 + 4 + 6x Combine like terms: -12 + 4 = -8 -8 + 17x + -11y = -8 + 6x Add '8' to each side of the equation. -8 + 17x + 8 + -11y = -8 + 8 + 6x Reorder the terms: -8 + 8 + 17x + -11y = -8 + 8 + 6x Combine like terms: -8 + 8 = 0 0 + 17x + -11y = -8 + 8 + 6x 17x + -11y = -8 + 8 + 6x Combine like terms: -8 + 8 = 0 17x + -11y = 0 + 6x 17x + -11y = 6x Solving 17x + -11y = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 17x + -6x + -11y = 6x + -6x Combine like terms: 17x + -6x = 11x 11x + -11y = 6x + -6x Combine like terms: 6x + -6x = 0 11x + -11y = 0 Add '11y' to each side of the equation. 11x + -11y + 11y = 0 + 11y Combine like terms: -11y + 11y = 0 11x + 0 = 0 + 11y 11x = 0 + 11y Remove the zero: 11x = 11y Divide each side by '11'. x = y Simplifying x = y
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