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Simplifying 4(2 + -1x) + 5(y + -3) = x + 1 (2 * 4 + -1x * 4) + 5(y + -3) = x + 1 (8 + -4x) + 5(y + -3) = x + 1 Reorder the terms: 8 + -4x + 5(-3 + y) = x + 1 8 + -4x + (-3 * 5 + y * 5) = x + 1 8 + -4x + (-15 + 5y) = x + 1 Reorder the terms: 8 + -15 + -4x + 5y = x + 1 Combine like terms: 8 + -15 = -7 -7 + -4x + 5y = x + 1 Reorder the terms: -7 + -4x + 5y = 1 + x Solving -7 + -4x + 5y = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + -4x + -1x + 5y = 1 + x + -1x Combine like terms: -4x + -1x = -5x -7 + -5x + 5y = 1 + x + -1x Combine like terms: x + -1x = 0 -7 + -5x + 5y = 1 + 0 -7 + -5x + 5y = 1 Add '7' to each side of the equation. -7 + -5x + 7 + 5y = 1 + 7 Reorder the terms: -7 + 7 + -5x + 5y = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -5x + 5y = 1 + 7 -5x + 5y = 1 + 7 Combine like terms: 1 + 7 = 8 -5x + 5y = 8 Add '-5y' to each side of the equation. -5x + 5y + -5y = 8 + -5y Combine like terms: 5y + -5y = 0 -5x + 0 = 8 + -5y -5x = 8 + -5y Divide each side by '-5'. x = -1.6 + y Simplifying x = -1.6 + y
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