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Simplifying 6(3x + 4) = 4x + 5(3x + -7) Reorder the terms: 6(4 + 3x) = 4x + 5(3x + -7) (4 * 6 + 3x * 6) = 4x + 5(3x + -7) (24 + 18x) = 4x + 5(3x + -7) Reorder the terms: 24 + 18x = 4x + 5(-7 + 3x) 24 + 18x = 4x + (-7 * 5 + 3x * 5) 24 + 18x = 4x + (-35 + 15x) Reorder the terms: 24 + 18x = -35 + 4x + 15x Combine like terms: 4x + 15x = 19x 24 + 18x = -35 + 19x Solving 24 + 18x = -35 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 24 + 18x + -19x = -35 + 19x + -19x Combine like terms: 18x + -19x = -1x 24 + -1x = -35 + 19x + -19x Combine like terms: 19x + -19x = 0 24 + -1x = -35 + 0 24 + -1x = -35 Add '-24' to each side of the equation. 24 + -24 + -1x = -35 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = -35 + -24 -1x = -35 + -24 Combine like terms: -35 + -24 = -59 -1x = -59 Divide each side by '-1'. x = 59 Simplifying x = 59
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