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Simplifying 7(-3x + -2) + 4(1 + -1x) = 9(2x + -5) + 3(3x + -5) Reorder the terms: 7(-2 + -3x) + 4(1 + -1x) = 9(2x + -5) + 3(3x + -5) (-2 * 7 + -3x * 7) + 4(1 + -1x) = 9(2x + -5) + 3(3x + -5) (-14 + -21x) + 4(1 + -1x) = 9(2x + -5) + 3(3x + -5) -14 + -21x + (1 * 4 + -1x * 4) = 9(2x + -5) + 3(3x + -5) -14 + -21x + (4 + -4x) = 9(2x + -5) + 3(3x + -5) Reorder the terms: -14 + 4 + -21x + -4x = 9(2x + -5) + 3(3x + -5) Combine like terms: -14 + 4 = -10 -10 + -21x + -4x = 9(2x + -5) + 3(3x + -5) Combine like terms: -21x + -4x = -25x -10 + -25x = 9(2x + -5) + 3(3x + -5) Reorder the terms: -10 + -25x = 9(-5 + 2x) + 3(3x + -5) -10 + -25x = (-5 * 9 + 2x * 9) + 3(3x + -5) -10 + -25x = (-45 + 18x) + 3(3x + -5) Reorder the terms: -10 + -25x = -45 + 18x + 3(-5 + 3x) -10 + -25x = -45 + 18x + (-5 * 3 + 3x * 3) -10 + -25x = -45 + 18x + (-15 + 9x) Reorder the terms: -10 + -25x = -45 + -15 + 18x + 9x Combine like terms: -45 + -15 = -60 -10 + -25x = -60 + 18x + 9x Combine like terms: 18x + 9x = 27x -10 + -25x = -60 + 27x Solving -10 + -25x = -60 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -10 + -25x + -27x = -60 + 27x + -27x Combine like terms: -25x + -27x = -52x -10 + -52x = -60 + 27x + -27x Combine like terms: 27x + -27x = 0 -10 + -52x = -60 + 0 -10 + -52x = -60 Add '10' to each side of the equation. -10 + 10 + -52x = -60 + 10 Combine like terms: -10 + 10 = 0 0 + -52x = -60 + 10 -52x = -60 + 10 Combine like terms: -60 + 10 = -50 -52x = -50 Divide each side by '-52'. x = 0.9615384615 Simplifying x = 0.9615384615
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