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Simplifying 10x + -8y + -12 + 6y + -15x + 20 + -1(3x + 7) = 0 Reorder the terms: 10x + -8y + -12 + 6y + -15x + 20 + -1(7 + 3x) = 0 10x + -8y + -12 + 6y + -15x + 20 + (7 * -1 + 3x * -1) = 0 10x + -8y + -12 + 6y + -15x + 20 + (-7 + -3x) = 0 Reorder the terms: -12 + 20 + -7 + 10x + -15x + -3x + -8y + 6y = 0 Combine like terms: -12 + 20 = 8 8 + -7 + 10x + -15x + -3x + -8y + 6y = 0 Combine like terms: 8 + -7 = 1 1 + 10x + -15x + -3x + -8y + 6y = 0 Combine like terms: 10x + -15x = -5x 1 + -5x + -3x + -8y + 6y = 0 Combine like terms: -5x + -3x = -8x 1 + -8x + -8y + 6y = 0 Combine like terms: -8y + 6y = -2y 1 + -8x + -2y = 0 Solving 1 + -8x + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -8x + -1 + -2y = 0 + -1 Reorder the terms: 1 + -1 + -8x + -2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8x + -2y = 0 + -1 -8x + -2y = 0 + -1 Combine like terms: 0 + -1 = -1 -8x + -2y = -1 Add '2y' to each side of the equation. -8x + -2y + 2y = -1 + 2y Combine like terms: -2y + 2y = 0 -8x + 0 = -1 + 2y -8x = -1 + 2y Divide each side by '-8'. x = 0.125 + -0.25y Simplifying x = 0.125 + -0.25y
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