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Simplifying 1 + -5(3x + 5) + -1 + -3(x + 7) = 4 Reorder the terms: 1 + -5(5 + 3x) + -1 + -3(x + 7) = 4 1 + (5 * -5 + 3x * -5) + -1 + -3(x + 7) = 4 1 + (-25 + -15x) + -1 + -3(x + 7) = 4 Reorder the terms: 1 + -25 + -15x + -1 + -3(7 + x) = 4 1 + -25 + -15x + -1 + (7 * -3 + x * -3) = 4 1 + -25 + -15x + -1 + (-21 + -3x) = 4 Reorder the terms: 1 + -25 + -1 + -21 + -15x + -3x = 4 Combine like terms: 1 + -25 = -24 -24 + -1 + -21 + -15x + -3x = 4 Combine like terms: -24 + -1 = -25 -25 + -21 + -15x + -3x = 4 Combine like terms: -25 + -21 = -46 -46 + -15x + -3x = 4 Combine like terms: -15x + -3x = -18x -46 + -18x = 4 Solving -46 + -18x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + -18x = 4 + 46 Combine like terms: -46 + 46 = 0 0 + -18x = 4 + 46 -18x = 4 + 46 Combine like terms: 4 + 46 = 50 -18x = 50 Divide each side by '-18'. x = -2.777777778 Simplifying x = -2.777777778
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