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Simplifying 5(-3x + -2) + -1(x + -3) = -4(x + 5) + 13 Reorder the terms: 5(-2 + -3x) + -1(x + -3) = -4(x + 5) + 13 (-2 * 5 + -3x * 5) + -1(x + -3) = -4(x + 5) + 13 (-10 + -15x) + -1(x + -3) = -4(x + 5) + 13 Reorder the terms: -10 + -15x + -1(-3 + x) = -4(x + 5) + 13 -10 + -15x + (-3 * -1 + x * -1) = -4(x + 5) + 13 -10 + -15x + (3 + -1x) = -4(x + 5) + 13 Reorder the terms: -10 + 3 + -15x + -1x = -4(x + 5) + 13 Combine like terms: -10 + 3 = -7 -7 + -15x + -1x = -4(x + 5) + 13 Combine like terms: -15x + -1x = -16x -7 + -16x = -4(x + 5) + 13 Reorder the terms: -7 + -16x = -4(5 + x) + 13 -7 + -16x = (5 * -4 + x * -4) + 13 -7 + -16x = (-20 + -4x) + 13 Reorder the terms: -7 + -16x = -20 + 13 + -4x Combine like terms: -20 + 13 = -7 -7 + -16x = -7 + -4x Add '7' to each side of the equation. -7 + 7 + -16x = -7 + 7 + -4x Combine like terms: -7 + 7 = 0 0 + -16x = -7 + 7 + -4x -16x = -7 + 7 + -4x Combine like terms: -7 + 7 = 0 -16x = 0 + -4x -16x = -4x Solving -16x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -16x + 4x = -4x + 4x Combine like terms: -16x + 4x = -12x -12x = -4x + 4x Combine like terms: -4x + 4x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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