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Simplifying 6(-4x + 7) + -12 = -7(2x + 7) Reorder the terms: 6(7 + -4x) + -12 = -7(2x + 7) (7 * 6 + -4x * 6) + -12 = -7(2x + 7) (42 + -24x) + -12 = -7(2x + 7) Reorder the terms: 42 + -12 + -24x = -7(2x + 7) Combine like terms: 42 + -12 = 30 30 + -24x = -7(2x + 7) Reorder the terms: 30 + -24x = -7(7 + 2x) 30 + -24x = (7 * -7 + 2x * -7) 30 + -24x = (-49 + -14x) Solving 30 + -24x = -49 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 30 + -24x + 14x = -49 + -14x + 14x Combine like terms: -24x + 14x = -10x 30 + -10x = -49 + -14x + 14x Combine like terms: -14x + 14x = 0 30 + -10x = -49 + 0 30 + -10x = -49 Add '-30' to each side of the equation. 30 + -30 + -10x = -49 + -30 Combine like terms: 30 + -30 = 0 0 + -10x = -49 + -30 -10x = -49 + -30 Combine like terms: -49 + -30 = -79 -10x = -79 Divide each side by '-10'. x = 7.9 Simplifying x = 7.9
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