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Simplifying 5(-3 + -2) + -1(x + -3) = -4(4x + 5) + 13 Combine like terms: -3 + -2 = -5 5(-5) + -1(x + -3) = -4(4x + 5) + 13 Multiply 5 * -5 -25 + -1(x + -3) = -4(4x + 5) + 13 Reorder the terms: -25 + -1(-3 + x) = -4(4x + 5) + 13 -25 + (-3 * -1 + x * -1) = -4(4x + 5) + 13 -25 + (3 + -1x) = -4(4x + 5) + 13 Combine like terms: -25 + 3 = -22 -22 + -1x = -4(4x + 5) + 13 Reorder the terms: -22 + -1x = -4(5 + 4x) + 13 -22 + -1x = (5 * -4 + 4x * -4) + 13 -22 + -1x = (-20 + -16x) + 13 Reorder the terms: -22 + -1x = -20 + 13 + -16x Combine like terms: -20 + 13 = -7 -22 + -1x = -7 + -16x Solving -22 + -1x = -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. -22 + -1x + 16x = -7 + -16x + 16x Combine like terms: -1x + 16x = 15x -22 + 15x = -7 + -16x + 16x Combine like terms: -16x + 16x = 0 -22 + 15x = -7 + 0 -22 + 15x = -7 Add '22' to each side of the equation. -22 + 22 + 15x = -7 + 22 Combine like terms: -22 + 22 = 0 0 + 15x = -7 + 22 15x = -7 + 22 Combine like terms: -7 + 22 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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