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Simplifying (-3x + -2) + -1(x + -3) = -4(4x + 5) + 13 Reorder the terms: (-2 + -3x) + -1(x + -3) = -4(4x + 5) + 13 Remove parenthesis around (-2 + -3x) -2 + -3x + -1(x + -3) = -4(4x + 5) + 13 Reorder the terms: -2 + -3x + -1(-3 + x) = -4(4x + 5) + 13 -2 + -3x + (-3 * -1 + x * -1) = -4(4x + 5) + 13 -2 + -3x + (3 + -1x) = -4(4x + 5) + 13 Reorder the terms: -2 + 3 + -3x + -1x = -4(4x + 5) + 13 Combine like terms: -2 + 3 = 1 1 + -3x + -1x = -4(4x + 5) + 13 Combine like terms: -3x + -1x = -4x 1 + -4x = -4(4x + 5) + 13 Reorder the terms: 1 + -4x = -4(5 + 4x) + 13 1 + -4x = (5 * -4 + 4x * -4) + 13 1 + -4x = (-20 + -16x) + 13 Reorder the terms: 1 + -4x = -20 + 13 + -16x Combine like terms: -20 + 13 = -7 1 + -4x = -7 + -16x Solving 1 + -4x = -7 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 1 + -4x + 16x = -7 + -16x + 16x Combine like terms: -4x + 16x = 12x 1 + 12x = -7 + -16x + 16x Combine like terms: -16x + 16x = 0 1 + 12x = -7 + 0 1 + 12x = -7 Add '-1' to each side of the equation. 1 + -1 + 12x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 12x = -7 + -1 12x = -7 + -1 Combine like terms: -7 + -1 = -8 12x = -8 Divide each side by '12'. x = -0.6666666667 Simplifying x = -0.6666666667
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