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Simplifying -6(4x + 1) + 7y + 9(x + -3) = 4 Reorder the terms: -6(1 + 4x) + 7y + 9(x + -3) = 4 (1 * -6 + 4x * -6) + 7y + 9(x + -3) = 4 (-6 + -24x) + 7y + 9(x + -3) = 4 Reorder the terms: -6 + -24x + 7y + 9(-3 + x) = 4 -6 + -24x + 7y + (-3 * 9 + x * 9) = 4 -6 + -24x + 7y + (-27 + 9x) = 4 Reorder the terms: -6 + -27 + -24x + 9x + 7y = 4 Combine like terms: -6 + -27 = -33 -33 + -24x + 9x + 7y = 4 Combine like terms: -24x + 9x = -15x -33 + -15x + 7y = 4 Solving -33 + -15x + 7y = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + -15x + 33 + 7y = 4 + 33 Reorder the terms: -33 + 33 + -15x + 7y = 4 + 33 Combine like terms: -33 + 33 = 0 0 + -15x + 7y = 4 + 33 -15x + 7y = 4 + 33 Combine like terms: 4 + 33 = 37 -15x + 7y = 37 Add '-7y' to each side of the equation. -15x + 7y + -7y = 37 + -7y Combine like terms: 7y + -7y = 0 -15x + 0 = 37 + -7y -15x = 37 + -7y Divide each side by '-15'. x = -2.466666667 + 0.4666666667y Simplifying x = -2.466666667 + 0.4666666667y
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