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Simplifying -2(6x + -7) + 6x = 5 + 2(2x + -3) Reorder the terms: -2(-7 + 6x) + 6x = 5 + 2(2x + -3) (-7 * -2 + 6x * -2) + 6x = 5 + 2(2x + -3) (14 + -12x) + 6x = 5 + 2(2x + -3) Combine like terms: -12x + 6x = -6x 14 + -6x = 5 + 2(2x + -3) Reorder the terms: 14 + -6x = 5 + 2(-3 + 2x) 14 + -6x = 5 + (-3 * 2 + 2x * 2) 14 + -6x = 5 + (-6 + 4x) Combine like terms: 5 + -6 = -1 14 + -6x = -1 + 4x Solving 14 + -6x = -1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 14 + -6x + -4x = -1 + 4x + -4x Combine like terms: -6x + -4x = -10x 14 + -10x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + -10x = -1 + 0 14 + -10x = -1 Add '-14' to each side of the equation. 14 + -14 + -10x = -1 + -14 Combine like terms: 14 + -14 = 0 0 + -10x = -1 + -14 -10x = -1 + -14 Combine like terms: -1 + -14 = -15 -10x = -15 Divide each side by '-10'. x = 1.5 Simplifying x = 1.5
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