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Simplifying 5(-3x + -2) + -2(x + -3) = -4(4x + 5) + 13 Reorder the terms: 5(-2 + -3x) + -2(x + -3) = -4(4x + 5) + 13 (-2 * 5 + -3x * 5) + -2(x + -3) = -4(4x + 5) + 13 (-10 + -15x) + -2(x + -3) = -4(4x + 5) + 13 Reorder the terms: -10 + -15x + -2(-3 + x) = -4(4x + 5) + 13 -10 + -15x + (-3 * -2 + x * -2) = -4(4x + 5) + 13 -10 + -15x + (6 + -2x) = -4(4x + 5) + 13 Reorder the terms: -10 + 6 + -15x + -2x = -4(4x + 5) + 13 Combine like terms: -10 + 6 = -4 -4 + -15x + -2x = -4(4x + 5) + 13 Combine like terms: -15x + -2x = -17x -4 + -17x = -4(4x + 5) + 13 Reorder the terms: -4 + -17x = -4(5 + 4x) + 13 -4 + -17x = (5 * -4 + 4x * -4) + 13 -4 + -17x = (-20 + -16x) + 13 Reorder the terms: -4 + -17x = -20 + 13 + -16x Combine like terms: -20 + 13 = -7 -4 + -17x = -7 + -16x Solving -4 + -17x = -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. -4 + -17x + 16x = -7 + -16x + 16x Combine like terms: -17x + 16x = -1x -4 + -1x = -7 + -16x + 16x Combine like terms: -16x + 16x = 0 -4 + -1x = -7 + 0 -4 + -1x = -7 Add '4' to each side of the equation. -4 + 4 + -1x = -7 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -7 + 4 -1x = -7 + 4 Combine like terms: -7 + 4 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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