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Simplifying 2(2x + -4) + -7 = 6x + -11 Reorder the terms: 2(-4 + 2x) + -7 = 6x + -11 (-4 * 2 + 2x * 2) + -7 = 6x + -11 (-8 + 4x) + -7 = 6x + -11 Reorder the terms: -8 + -7 + 4x = 6x + -11 Combine like terms: -8 + -7 = -15 -15 + 4x = 6x + -11 Reorder the terms: -15 + 4x = -11 + 6x Solving -15 + 4x = -11 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -15 + 4x + -6x = -11 + 6x + -6x Combine like terms: 4x + -6x = -2x -15 + -2x = -11 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -2x = -11 + 0 -15 + -2x = -11 Add '15' to each side of the equation. -15 + 15 + -2x = -11 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = -11 + 15 -2x = -11 + 15 Combine like terms: -11 + 15 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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