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Simplifying 3x + 4 + 4x + 3 = 8 * 2x + 1 Reorder the terms: 4 + 3 + 3x + 4x = 8 * 2x + 1 Combine like terms: 4 + 3 = 7 7 + 3x + 4x = 8 * 2x + 1 Combine like terms: 3x + 4x = 7x 7 + 7x = 8 * 2x + 1 Multiply 8 * 2 7 + 7x = 16x + 1 Reorder the terms: 7 + 7x = 1 + 16x Solving 7 + 7x = 1 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 7 + 7x + -16x = 1 + 16x + -16x Combine like terms: 7x + -16x = -9x 7 + -9x = 1 + 16x + -16x Combine like terms: 16x + -16x = 0 7 + -9x = 1 + 0 7 + -9x = 1 Add '-7' to each side of the equation. 7 + -7 + -9x = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = 1 + -7 -9x = 1 + -7 Combine like terms: 1 + -7 = -6 -9x = -6 Divide each side by '-9'. x = 0.6666666667 Simplifying x = 0.6666666667
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