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Simplifying 5(3x + -6) + 2(4x + -8) = 7(2x + -7) Reorder the terms: 5(-6 + 3x) + 2(4x + -8) = 7(2x + -7) (-6 * 5 + 3x * 5) + 2(4x + -8) = 7(2x + -7) (-30 + 15x) + 2(4x + -8) = 7(2x + -7) Reorder the terms: -30 + 15x + 2(-8 + 4x) = 7(2x + -7) -30 + 15x + (-8 * 2 + 4x * 2) = 7(2x + -7) -30 + 15x + (-16 + 8x) = 7(2x + -7) Reorder the terms: -30 + -16 + 15x + 8x = 7(2x + -7) Combine like terms: -30 + -16 = -46 -46 + 15x + 8x = 7(2x + -7) Combine like terms: 15x + 8x = 23x -46 + 23x = 7(2x + -7) Reorder the terms: -46 + 23x = 7(-7 + 2x) -46 + 23x = (-7 * 7 + 2x * 7) -46 + 23x = (-49 + 14x) Solving -46 + 23x = -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. -46 + 23x + -14x = -49 + 14x + -14x Combine like terms: 23x + -14x = 9x -46 + 9x = -49 + 14x + -14x Combine like terms: 14x + -14x = 0 -46 + 9x = -49 + 0 -46 + 9x = -49 Add '46' to each side of the equation. -46 + 46 + 9x = -49 + 46 Combine like terms: -46 + 46 = 0 0 + 9x = -49 + 46 9x = -49 + 46 Combine like terms: -49 + 46 = -3 9x = -3 Divide each side by '9'. x = -0.3333333333 Simplifying x = -0.3333333333
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