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Simplifying 4(x + -3) + -1r * 2x = 5(3x + -7) + -9x Reorder the terms: 4(-3 + x) + -1r * 2x = 5(3x + -7) + -9x (-3 * 4 + x * 4) + -1r * 2x = 5(3x + -7) + -9x (-12 + 4x) + -1r * 2x = 5(3x + -7) + -9x Reorder the terms for easier multiplication: -12 + 4x + -1 * 2r * x = 5(3x + -7) + -9x Multiply -1 * 2 -12 + 4x + -2r * x = 5(3x + -7) + -9x Multiply r * x -12 + 4x + -2rx = 5(3x + -7) + -9x Reorder the terms: -12 + -2rx + 4x = 5(3x + -7) + -9x Reorder the terms: -12 + -2rx + 4x = 5(-7 + 3x) + -9x -12 + -2rx + 4x = (-7 * 5 + 3x * 5) + -9x -12 + -2rx + 4x = (-35 + 15x) + -9x Combine like terms: 15x + -9x = 6x -12 + -2rx + 4x = -35 + 6x Solving -12 + -2rx + 4x = -35 + 6x Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -2rx + 12 + 4x = -35 + 12 + 6x Reorder the terms: -12 + 12 + -2rx + 4x = -35 + 12 + 6x Combine like terms: -12 + 12 = 0 0 + -2rx + 4x = -35 + 12 + 6x -2rx + 4x = -35 + 12 + 6x Combine like terms: -35 + 12 = -23 -2rx + 4x = -23 + 6x Add '-4x' to each side of the equation. -2rx + 4x + -4x = -23 + 6x + -4x Combine like terms: 4x + -4x = 0 -2rx + 0 = -23 + 6x + -4x -2rx = -23 + 6x + -4x Combine like terms: 6x + -4x = 2x -2rx = -23 + 2x Divide each side by '-2x'. r = 11.5x-1 + -1 Simplifying r = 11.5x-1 + -1 Reorder the terms: r = -1 + 11.5x-1
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