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Simplifying 7(-3 + -2) + 4(1 + -1x) = 9(2x + -5) + -3(3x + -5) Combine like terms: -3 + -2 = -5 7(-5) + 4(1 + -1x) = 9(2x + -5) + -3(3x + -5) Multiply 7 * -5 -35 + 4(1 + -1x) = 9(2x + -5) + -3(3x + -5) -35 + (1 * 4 + -1x * 4) = 9(2x + -5) + -3(3x + -5) -35 + (4 + -4x) = 9(2x + -5) + -3(3x + -5) Combine like terms: -35 + 4 = -31 -31 + -4x = 9(2x + -5) + -3(3x + -5) Reorder the terms: -31 + -4x = 9(-5 + 2x) + -3(3x + -5) -31 + -4x = (-5 * 9 + 2x * 9) + -3(3x + -5) -31 + -4x = (-45 + 18x) + -3(3x + -5) Reorder the terms: -31 + -4x = -45 + 18x + -3(-5 + 3x) -31 + -4x = -45 + 18x + (-5 * -3 + 3x * -3) -31 + -4x = -45 + 18x + (15 + -9x) Reorder the terms: -31 + -4x = -45 + 15 + 18x + -9x Combine like terms: -45 + 15 = -30 -31 + -4x = -30 + 18x + -9x Combine like terms: 18x + -9x = 9x -31 + -4x = -30 + 9x Solving -31 + -4x = -30 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -31 + -4x + -9x = -30 + 9x + -9x Combine like terms: -4x + -9x = -13x -31 + -13x = -30 + 9x + -9x Combine like terms: 9x + -9x = 0 -31 + -13x = -30 + 0 -31 + -13x = -30 Add '31' to each side of the equation. -31 + 31 + -13x = -30 + 31 Combine like terms: -31 + 31 = 0 0 + -13x = -30 + 31 -13x = -30 + 31 Combine like terms: -30 + 31 = 1 -13x = 1 Divide each side by '-13'. x = -0.07692307692 Simplifying x = -0.07692307692
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