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Simplifying 5(2x + -3) + -4c = 6x + -15 Reorder the terms: 5(-3 + 2x) + -4c = 6x + -15 (-3 * 5 + 2x * 5) + -4c = 6x + -15 (-15 + 10x) + -4c = 6x + -15 Reorder the terms: -15 + -4c + 10x = 6x + -15 Reorder the terms: -15 + -4c + 10x = -15 + 6x Add '15' to each side of the equation. -15 + -4c + 15 + 10x = -15 + 15 + 6x Reorder the terms: -15 + 15 + -4c + 10x = -15 + 15 + 6x Combine like terms: -15 + 15 = 0 0 + -4c + 10x = -15 + 15 + 6x -4c + 10x = -15 + 15 + 6x Combine like terms: -15 + 15 = 0 -4c + 10x = 0 + 6x -4c + 10x = 6x Solving -4c + 10x = 6x Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10x' to each side of the equation. -4c + 10x + -10x = 6x + -10x Combine like terms: 10x + -10x = 0 -4c + 0 = 6x + -10x -4c = 6x + -10x Combine like terms: 6x + -10x = -4x -4c = -4x Divide each side by '-4'. c = x Simplifying c = x
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