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Simplifying 9x + -5(2c + 1) = 2(3x + -6) + -7x Reorder the terms: 9x + -5(1 + 2c) = 2(3x + -6) + -7x 9x + (1 * -5 + 2c * -5) = 2(3x + -6) + -7x 9x + (-5 + -10c) = 2(3x + -6) + -7x Reorder the terms: -5 + -10c + 9x = 2(3x + -6) + -7x Reorder the terms: -5 + -10c + 9x = 2(-6 + 3x) + -7x -5 + -10c + 9x = (-6 * 2 + 3x * 2) + -7x -5 + -10c + 9x = (-12 + 6x) + -7x Combine like terms: 6x + -7x = -1x -5 + -10c + 9x = -12 + -1x Solving -5 + -10c + 9x = -12 + -1x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -10c + 5 + 9x = -12 + 5 + -1x Reorder the terms: -5 + 5 + -10c + 9x = -12 + 5 + -1x Combine like terms: -5 + 5 = 0 0 + -10c + 9x = -12 + 5 + -1x -10c + 9x = -12 + 5 + -1x Combine like terms: -12 + 5 = -7 -10c + 9x = -7 + -1x Add '-9x' to each side of the equation. -10c + 9x + -9x = -7 + -1x + -9x Combine like terms: 9x + -9x = 0 -10c + 0 = -7 + -1x + -9x -10c = -7 + -1x + -9x Combine like terms: -1x + -9x = -10x -10c = -7 + -10x Divide each side by '-10'. c = 0.7 + x Simplifying c = 0.7 + x
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