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Simplifying 4(3x + 7) + -6(3x + -7) = 12x + 3(4x + -8) Reorder the terms: 4(7 + 3x) + -6(3x + -7) = 12x + 3(4x + -8) (7 * 4 + 3x * 4) + -6(3x + -7) = 12x + 3(4x + -8) (28 + 12x) + -6(3x + -7) = 12x + 3(4x + -8) Reorder the terms: 28 + 12x + -6(-7 + 3x) = 12x + 3(4x + -8) 28 + 12x + (-7 * -6 + 3x * -6) = 12x + 3(4x + -8) 28 + 12x + (42 + -18x) = 12x + 3(4x + -8) Reorder the terms: 28 + 42 + 12x + -18x = 12x + 3(4x + -8) Combine like terms: 28 + 42 = 70 70 + 12x + -18x = 12x + 3(4x + -8) Combine like terms: 12x + -18x = -6x 70 + -6x = 12x + 3(4x + -8) Reorder the terms: 70 + -6x = 12x + 3(-8 + 4x) 70 + -6x = 12x + (-8 * 3 + 4x * 3) 70 + -6x = 12x + (-24 + 12x) Reorder the terms: 70 + -6x = -24 + 12x + 12x Combine like terms: 12x + 12x = 24x 70 + -6x = -24 + 24x Solving 70 + -6x = -24 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 70 + -6x + -24x = -24 + 24x + -24x Combine like terms: -6x + -24x = -30x 70 + -30x = -24 + 24x + -24x Combine like terms: 24x + -24x = 0 70 + -30x = -24 + 0 70 + -30x = -24 Add '-70' to each side of the equation. 70 + -70 + -30x = -24 + -70 Combine like terms: 70 + -70 = 0 0 + -30x = -24 + -70 -30x = -24 + -70 Combine like terms: -24 + -70 = -94 -30x = -94 Divide each side by '-30'. x = 3.133333333 Simplifying x = 3.133333333
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