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Simplifying 4(x + 3y + -10) + -6(2x + -2y + -7) = 0 Reorder the terms: 4(-10 + x + 3y) + -6(2x + -2y + -7) = 0 (-10 * 4 + x * 4 + 3y * 4) + -6(2x + -2y + -7) = 0 (-40 + 4x + 12y) + -6(2x + -2y + -7) = 0 Reorder the terms: -40 + 4x + 12y + -6(-7 + 2x + -2y) = 0 -40 + 4x + 12y + (-7 * -6 + 2x * -6 + -2y * -6) = 0 -40 + 4x + 12y + (42 + -12x + 12y) = 0 Reorder the terms: -40 + 42 + 4x + -12x + 12y + 12y = 0 Combine like terms: -40 + 42 = 2 2 + 4x + -12x + 12y + 12y = 0 Combine like terms: 4x + -12x = -8x 2 + -8x + 12y + 12y = 0 Combine like terms: 12y + 12y = 24y 2 + -8x + 24y = 0 Solving 2 + -8x + 24y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -8x + -2 + 24y = 0 + -2 Reorder the terms: 2 + -2 + -8x + 24y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -8x + 24y = 0 + -2 -8x + 24y = 0 + -2 Combine like terms: 0 + -2 = -2 -8x + 24y = -2 Add '-24y' to each side of the equation. -8x + 24y + -24y = -2 + -24y Combine like terms: 24y + -24y = 0 -8x + 0 = -2 + -24y -8x = -2 + -24y Divide each side by '-8'. x = 0.25 + 3y Simplifying x = 0.25 + 3y
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