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Simplifying -15 + 2x = 6(4x + 7) Reorder the terms: -15 + 2x = 6(7 + 4x) -15 + 2x = (7 * 6 + 4x * 6) -15 + 2x = (42 + 24x) Solving -15 + 2x = 42 + 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. -15 + 2x + -24x = 42 + 24x + -24x Combine like terms: 2x + -24x = -22x -15 + -22x = 42 + 24x + -24x Combine like terms: 24x + -24x = 0 -15 + -22x = 42 + 0 -15 + -22x = 42 Add '15' to each side of the equation. -15 + 15 + -22x = 42 + 15 Combine like terms: -15 + 15 = 0 0 + -22x = 42 + 15 -22x = 42 + 15 Combine like terms: 42 + 15 = 57 -22x = 57 Divide each side by '-22'. x = -2.590909091 Simplifying x = -2.590909091
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