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Simplifying -6(4x + 1) + 7x + 9(x + -1s) = 4 Reorder the terms: -6(1 + 4x) + 7x + 9(x + -1s) = 4 (1 * -6 + 4x * -6) + 7x + 9(x + -1s) = 4 (-6 + -24x) + 7x + 9(x + -1s) = 4 Reorder the terms: -6 + -24x + 7x + 9(-1s + x) = 4 -6 + -24x + 7x + (-1s * 9 + x * 9) = 4 -6 + -24x + 7x + (-9s + 9x) = 4 Reorder the terms: -6 + -9s + -24x + 7x + 9x = 4 Combine like terms: -24x + 7x = -17x -6 + -9s + -17x + 9x = 4 Combine like terms: -17x + 9x = -8x -6 + -9s + -8x = 4 Solving -6 + -9s + -8x = 4 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -9s + 6 + -8x = 4 + 6 Reorder the terms: -6 + 6 + -9s + -8x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -9s + -8x = 4 + 6 -9s + -8x = 4 + 6 Combine like terms: 4 + 6 = 10 -9s + -8x = 10 Add '8x' to each side of the equation. -9s + -8x + 8x = 10 + 8x Combine like terms: -8x + 8x = 0 -9s + 0 = 10 + 8x -9s = 10 + 8x Divide each side by '-9'. s = -1.111111111 + -0.8888888889x Simplifying s = -1.111111111 + -0.8888888889x
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