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Simplifying -4(7 + 6x) + 7x = 5(2 + 3x) (7 * -4 + 6x * -4) + 7x = 5(2 + 3x) (-28 + -24x) + 7x = 5(2 + 3x) Combine like terms: -24x + 7x = -17x -28 + -17x = 5(2 + 3x) -28 + -17x = (2 * 5 + 3x * 5) -28 + -17x = (10 + 15x) Solving -28 + -17x = 10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -28 + -17x + -15x = 10 + 15x + -15x Combine like terms: -17x + -15x = -32x -28 + -32x = 10 + 15x + -15x Combine like terms: 15x + -15x = 0 -28 + -32x = 10 + 0 -28 + -32x = 10 Add '28' to each side of the equation. -28 + 28 + -32x = 10 + 28 Combine like terms: -28 + 28 = 0 0 + -32x = 10 + 28 -32x = 10 + 28 Combine like terms: 10 + 28 = 38 -32x = 38 Divide each side by '-32'. x = -1.1875 Simplifying x = -1.1875
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