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Simplifying -11x + 4(x + -3) + 6x = 5x + -18 Reorder the terms: -11x + 4(-3 + x) + 6x = 5x + -18 -11x + (-3 * 4 + x * 4) + 6x = 5x + -18 -11x + (-12 + 4x) + 6x = 5x + -18 Reorder the terms: -12 + -11x + 4x + 6x = 5x + -18 Combine like terms: -11x + 4x = -7x -12 + -7x + 6x = 5x + -18 Combine like terms: -7x + 6x = -1x -12 + -1x = 5x + -18 Reorder the terms: -12 + -1x = -18 + 5x Solving -12 + -1x = -18 + 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. -12 + -1x + -5x = -18 + 5x + -5x Combine like terms: -1x + -5x = -6x -12 + -6x = -18 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -6x = -18 + 0 -12 + -6x = -18 Add '12' to each side of the equation. -12 + 12 + -6x = -18 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = -18 + 12 -6x = -18 + 12 Combine like terms: -18 + 12 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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