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Simplifying 6(x + -6) + -2 = -6(-5x + 8) + -6x Reorder the terms: 6(-6 + x) + -2 = -6(-5x + 8) + -6x (-6 * 6 + x * 6) + -2 = -6(-5x + 8) + -6x (-36 + 6x) + -2 = -6(-5x + 8) + -6x Reorder the terms: -36 + -2 + 6x = -6(-5x + 8) + -6x Combine like terms: -36 + -2 = -38 -38 + 6x = -6(-5x + 8) + -6x Reorder the terms: -38 + 6x = -6(8 + -5x) + -6x -38 + 6x = (8 * -6 + -5x * -6) + -6x -38 + 6x = (-48 + 30x) + -6x Combine like terms: 30x + -6x = 24x -38 + 6x = -48 + 24x Solving -38 + 6x = -48 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -38 + 6x + -24x = -48 + 24x + -24x Combine like terms: 6x + -24x = -18x -38 + -18x = -48 + 24x + -24x Combine like terms: 24x + -24x = 0 -38 + -18x = -48 + 0 -38 + -18x = -48 Add '38' to each side of the equation. -38 + 38 + -18x = -48 + 38 Combine like terms: -38 + 38 = 0 0 + -18x = -48 + 38 -18x = -48 + 38 Combine like terms: -48 + 38 = -10 -18x = -10 Divide each side by '-18'. x = 0.5555555556 Simplifying x = 0.5555555556
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