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Simplifying 5(3x + -7) + -4(x + 3) + -18x = 0 Reorder the terms: 5(-7 + 3x) + -4(x + 3) + -18x = 0 (-7 * 5 + 3x * 5) + -4(x + 3) + -18x = 0 (-35 + 15x) + -4(x + 3) + -18x = 0 Reorder the terms: -35 + 15x + -4(3 + x) + -18x = 0 -35 + 15x + (3 * -4 + x * -4) + -18x = 0 -35 + 15x + (-12 + -4x) + -18x = 0 Reorder the terms: -35 + -12 + 15x + -4x + -18x = 0 Combine like terms: -35 + -12 = -47 -47 + 15x + -4x + -18x = 0 Combine like terms: 15x + -4x = 11x -47 + 11x + -18x = 0 Combine like terms: 11x + -18x = -7x -47 + -7x = 0 Solving -47 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + -7x = 0 + 47 Combine like terms: -47 + 47 = 0 0 + -7x = 0 + 47 -7x = 0 + 47 Combine like terms: 0 + 47 = 47 -7x = 47 Divide each side by '-7'. x = -6.714285714 Simplifying x = -6.714285714
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