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Simplifying 4(x + -1) + -3(2x + 9) = 5x + 6 Reorder the terms: 4(-1 + x) + -3(2x + 9) = 5x + 6 (-1 * 4 + x * 4) + -3(2x + 9) = 5x + 6 (-4 + 4x) + -3(2x + 9) = 5x + 6 Reorder the terms: -4 + 4x + -3(9 + 2x) = 5x + 6 -4 + 4x + (9 * -3 + 2x * -3) = 5x + 6 -4 + 4x + (-27 + -6x) = 5x + 6 Reorder the terms: -4 + -27 + 4x + -6x = 5x + 6 Combine like terms: -4 + -27 = -31 -31 + 4x + -6x = 5x + 6 Combine like terms: 4x + -6x = -2x -31 + -2x = 5x + 6 Reorder the terms: -31 + -2x = 6 + 5x Solving -31 + -2x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -31 + -2x + -5x = 6 + 5x + -5x Combine like terms: -2x + -5x = -7x -31 + -7x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -31 + -7x = 6 + 0 -31 + -7x = 6 Add '31' to each side of the equation. -31 + 31 + -7x = 6 + 31 Combine like terms: -31 + 31 = 0 0 + -7x = 6 + 31 -7x = 6 + 31 Combine like terms: 6 + 31 = 37 -7x = 37 Divide each side by '-7'. x = -5.285714286 Simplifying x = -5.285714286
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