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Simplifying 7x + -3(5x + -4) + -3y = 20 Reorder the terms: 7x + -3(-4 + 5x) + -3y = 20 7x + (-4 * -3 + 5x * -3) + -3y = 20 7x + (12 + -15x) + -3y = 20 Reorder the terms: 12 + 7x + -15x + -3y = 20 Combine like terms: 7x + -15x = -8x 12 + -8x + -3y = 20 Solving 12 + -8x + -3y = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -8x + -12 + -3y = 20 + -12 Reorder the terms: 12 + -12 + -8x + -3y = 20 + -12 Combine like terms: 12 + -12 = 0 0 + -8x + -3y = 20 + -12 -8x + -3y = 20 + -12 Combine like terms: 20 + -12 = 8 -8x + -3y = 8 Add '3y' to each side of the equation. -8x + -3y + 3y = 8 + 3y Combine like terms: -3y + 3y = 0 -8x + 0 = 8 + 3y -8x = 8 + 3y Divide each side by '-8'. x = -1 + -0.375y Simplifying x = -1 + -0.375y
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