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Simplifying -4x + 3[5(x + 7) + -3x + 2] = 7(x + 5) Reorder the terms: -4x + 3[5(7 + x) + -3x + 2] = 7(x + 5) -4x + 3[(7 * 5 + x * 5) + -3x + 2] = 7(x + 5) -4x + 3[(35 + 5x) + -3x + 2] = 7(x + 5) Reorder the terms: -4x + 3[35 + 2 + 5x + -3x] = 7(x + 5) Combine like terms: 35 + 2 = 37 -4x + 3[37 + 5x + -3x] = 7(x + 5) Combine like terms: 5x + -3x = 2x -4x + 3[37 + 2x] = 7(x + 5) -4x + [37 * 3 + 2x * 3] = 7(x + 5) -4x + [111 + 6x] = 7(x + 5) Reorder the terms: 111 + -4x + 6x = 7(x + 5) Combine like terms: -4x + 6x = 2x 111 + 2x = 7(x + 5) Reorder the terms: 111 + 2x = 7(5 + x) 111 + 2x = (5 * 7 + x * 7) 111 + 2x = (35 + 7x) Solving 111 + 2x = 35 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 111 + 2x + -7x = 35 + 7x + -7x Combine like terms: 2x + -7x = -5x 111 + -5x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 111 + -5x = 35 + 0 111 + -5x = 35 Add '-111' to each side of the equation. 111 + -111 + -5x = 35 + -111 Combine like terms: 111 + -111 = 0 0 + -5x = 35 + -111 -5x = 35 + -111 Combine like terms: 35 + -111 = -76 -5x = -76 Divide each side by '-5'. x = 15.2 Simplifying x = 15.2
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