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Simplifying 2(x + -3) + 5y = 4(x + 3) + -3 Reorder the terms: 2(-3 + x) + 5y = 4(x + 3) + -3 (-3 * 2 + x * 2) + 5y = 4(x + 3) + -3 (-6 + 2x) + 5y = 4(x + 3) + -3 Reorder the terms: -6 + 2x + 5y = 4(3 + x) + -3 -6 + 2x + 5y = (3 * 4 + x * 4) + -3 -6 + 2x + 5y = (12 + 4x) + -3 Reorder the terms: -6 + 2x + 5y = 12 + -3 + 4x Combine like terms: 12 + -3 = 9 -6 + 2x + 5y = 9 + 4x Solving -6 + 2x + 5y = 9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 2x + -4x + 5y = 9 + 4x + -4x Combine like terms: 2x + -4x = -2x -6 + -2x + 5y = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -2x + 5y = 9 + 0 -6 + -2x + 5y = 9 Add '6' to each side of the equation. -6 + -2x + 6 + 5y = 9 + 6 Reorder the terms: -6 + 6 + -2x + 5y = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -2x + 5y = 9 + 6 -2x + 5y = 9 + 6 Combine like terms: 9 + 6 = 15 -2x + 5y = 15 Add '-5y' to each side of the equation. -2x + 5y + -5y = 15 + -5y Combine like terms: 5y + -5y = 0 -2x + 0 = 15 + -5y -2x = 15 + -5y Divide each side by '-2'. x = -7.5 + 2.5y Simplifying x = -7.5 + 2.5y
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