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Simplifying -14x + 2(x + -3) + 6x = 2x + -54 Reorder the terms: -14x + 2(-3 + x) + 6x = 2x + -54 -14x + (-3 * 2 + x * 2) + 6x = 2x + -54 -14x + (-6 + 2x) + 6x = 2x + -54 Reorder the terms: -6 + -14x + 2x + 6x = 2x + -54 Combine like terms: -14x + 2x = -12x -6 + -12x + 6x = 2x + -54 Combine like terms: -12x + 6x = -6x -6 + -6x = 2x + -54 Reorder the terms: -6 + -6x = -54 + 2x Solving -6 + -6x = -54 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + -6x + -2x = -54 + 2x + -2x Combine like terms: -6x + -2x = -8x -6 + -8x = -54 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -8x = -54 + 0 -6 + -8x = -54 Add '6' to each side of the equation. -6 + 6 + -8x = -54 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = -54 + 6 -8x = -54 + 6 Combine like terms: -54 + 6 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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