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Simplifying 5(-3x + -7) = 3(9x + -4) Reorder the terms: 5(-7 + -3x) = 3(9x + -4) (-7 * 5 + -3x * 5) = 3(9x + -4) (-35 + -15x) = 3(9x + -4) Reorder the terms: -35 + -15x = 3(-4 + 9x) -35 + -15x = (-4 * 3 + 9x * 3) -35 + -15x = (-12 + 27x) Solving -35 + -15x = -12 + 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. -35 + -15x + -27x = -12 + 27x + -27x Combine like terms: -15x + -27x = -42x -35 + -42x = -12 + 27x + -27x Combine like terms: 27x + -27x = 0 -35 + -42x = -12 + 0 -35 + -42x = -12 Add '35' to each side of the equation. -35 + 35 + -42x = -12 + 35 Combine like terms: -35 + 35 = 0 0 + -42x = -12 + 35 -42x = -12 + 35 Combine like terms: -12 + 35 = 23 -42x = 23 Divide each side by '-42'. x = -0.5476190476 Simplifying x = -0.5476190476
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