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Simplifying -15x + 2(x + -4) + 6x = 2x + -8 Reorder the terms: -15x + 2(-4 + x) + 6x = 2x + -8 -15x + (-4 * 2 + x * 2) + 6x = 2x + -8 -15x + (-8 + 2x) + 6x = 2x + -8 Reorder the terms: -8 + -15x + 2x + 6x = 2x + -8 Combine like terms: -15x + 2x = -13x -8 + -13x + 6x = 2x + -8 Combine like terms: -13x + 6x = -7x -8 + -7x = 2x + -8 Reorder the terms: -8 + -7x = -8 + 2x Add '8' to each side of the equation. -8 + 8 + -7x = -8 + 8 + 2x Combine like terms: -8 + 8 = 0 0 + -7x = -8 + 8 + 2x -7x = -8 + 8 + 2x Combine like terms: -8 + 8 = 0 -7x = 0 + 2x -7x = 2x Solving -7x = 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. -7x + -2x = 2x + -2x Combine like terms: -7x + -2x = -9x -9x = 2x + -2x Combine like terms: 2x + -2x = 0 -9x = 0 Divide each side by '-9'. x = 0 Simplifying x = 0
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