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Simplifying 3 + -2x + 2(y + -3) = 4(y + -3) Reorder the terms: 3 + -2x + 2(-3 + y) = 4(y + -3) 3 + -2x + (-3 * 2 + y * 2) = 4(y + -3) 3 + -2x + (-6 + 2y) = 4(y + -3) Reorder the terms: 3 + -6 + -2x + 2y = 4(y + -3) Combine like terms: 3 + -6 = -3 -3 + -2x + 2y = 4(y + -3) Reorder the terms: -3 + -2x + 2y = 4(-3 + y) -3 + -2x + 2y = (-3 * 4 + y * 4) -3 + -2x + 2y = (-12 + 4y) Solving -3 + -2x + 2y = -12 + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -2x + 3 + 2y = -12 + 3 + 4y Reorder the terms: -3 + 3 + -2x + 2y = -12 + 3 + 4y Combine like terms: -3 + 3 = 0 0 + -2x + 2y = -12 + 3 + 4y -2x + 2y = -12 + 3 + 4y Combine like terms: -12 + 3 = -9 -2x + 2y = -9 + 4y Add '-2y' to each side of the equation. -2x + 2y + -2y = -9 + 4y + -2y Combine like terms: 2y + -2y = 0 -2x + 0 = -9 + 4y + -2y -2x = -9 + 4y + -2y Combine like terms: 4y + -2y = 2y -2x = -9 + 2y Divide each side by '-2'. x = 4.5 + -1y Simplifying x = 4.5 + -1y
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