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Simplifying 5(3x + -8) + -4(x + 1) + -18x = 0 Reorder the terms: 5(-8 + 3x) + -4(x + 1) + -18x = 0 (-8 * 5 + 3x * 5) + -4(x + 1) + -18x = 0 (-40 + 15x) + -4(x + 1) + -18x = 0 Reorder the terms: -40 + 15x + -4(1 + x) + -18x = 0 -40 + 15x + (1 * -4 + x * -4) + -18x = 0 -40 + 15x + (-4 + -4x) + -18x = 0 Reorder the terms: -40 + -4 + 15x + -4x + -18x = 0 Combine like terms: -40 + -4 = -44 -44 + 15x + -4x + -18x = 0 Combine like terms: 15x + -4x = 11x -44 + 11x + -18x = 0 Combine like terms: 11x + -18x = -7x -44 + -7x = 0 Solving -44 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + -7x = 0 + 44 Combine like terms: -44 + 44 = 0 0 + -7x = 0 + 44 -7x = 0 + 44 Combine like terms: 0 + 44 = 44 -7x = 44 Divide each side by '-7'. x = -6.285714286 Simplifying x = -6.285714286
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