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Simplifying 5 + -1(3x + -2) + -1(x + -3) = 4(4 + 5) + 13 Reorder the terms: 5 + -1(-2 + 3x) + -1(x + -3) = 4(4 + 5) + 13 5 + (-2 * -1 + 3x * -1) + -1(x + -3) = 4(4 + 5) + 13 5 + (2 + -3x) + -1(x + -3) = 4(4 + 5) + 13 Reorder the terms: 5 + 2 + -3x + -1(-3 + x) = 4(4 + 5) + 13 5 + 2 + -3x + (-3 * -1 + x * -1) = 4(4 + 5) + 13 5 + 2 + -3x + (3 + -1x) = 4(4 + 5) + 13 Reorder the terms: 5 + 2 + 3 + -3x + -1x = 4(4 + 5) + 13 Combine like terms: 5 + 2 = 7 7 + 3 + -3x + -1x = 4(4 + 5) + 13 Combine like terms: 7 + 3 = 10 10 + -3x + -1x = 4(4 + 5) + 13 Combine like terms: -3x + -1x = -4x 10 + -4x = 4(4 + 5) + 13 Combine like terms: 4 + 5 = 9 10 + -4x = 4(9) + 13 Multiply 4 * 9 10 + -4x = 36 + 13 Combine like terms: 36 + 13 = 49 10 + -4x = 49 Solving 10 + -4x = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -4x = 49 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 49 + -10 -4x = 49 + -10 Combine like terms: 49 + -10 = 39 -4x = 39 Divide each side by '-4'. x = -9.75 Simplifying x = -9.75
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