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Simplifying 7 + 3(2x + 6) = -4 + 6(4x + -5) Reorder the terms: 7 + 3(6 + 2x) = -4 + 6(4x + -5) 7 + (6 * 3 + 2x * 3) = -4 + 6(4x + -5) 7 + (18 + 6x) = -4 + 6(4x + -5) Combine like terms: 7 + 18 = 25 25 + 6x = -4 + 6(4x + -5) Reorder the terms: 25 + 6x = -4 + 6(-5 + 4x) 25 + 6x = -4 + (-5 * 6 + 4x * 6) 25 + 6x = -4 + (-30 + 24x) Combine like terms: -4 + -30 = -34 25 + 6x = -34 + 24x Solving 25 + 6x = -34 + 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. 25 + 6x + -24x = -34 + 24x + -24x Combine like terms: 6x + -24x = -18x 25 + -18x = -34 + 24x + -24x Combine like terms: 24x + -24x = 0 25 + -18x = -34 + 0 25 + -18x = -34 Add '-25' to each side of the equation. 25 + -25 + -18x = -34 + -25 Combine like terms: 25 + -25 = 0 0 + -18x = -34 + -25 -18x = -34 + -25 Combine like terms: -34 + -25 = -59 -18x = -59 Divide each side by '-18'. x = 3.277777778 Simplifying x = 3.277777778
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