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Simplifying 4(2x + 1) + 7 = 7(4x + -3) Reorder the terms: 4(1 + 2x) + 7 = 7(4x + -3) (1 * 4 + 2x * 4) + 7 = 7(4x + -3) (4 + 8x) + 7 = 7(4x + -3) Reorder the terms: 4 + 7 + 8x = 7(4x + -3) Combine like terms: 4 + 7 = 11 11 + 8x = 7(4x + -3) Reorder the terms: 11 + 8x = 7(-3 + 4x) 11 + 8x = (-3 * 7 + 4x * 7) 11 + 8x = (-21 + 28x) Solving 11 + 8x = -21 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 11 + 8x + -28x = -21 + 28x + -28x Combine like terms: 8x + -28x = -20x 11 + -20x = -21 + 28x + -28x Combine like terms: 28x + -28x = 0 11 + -20x = -21 + 0 11 + -20x = -21 Add '-11' to each side of the equation. 11 + -11 + -20x = -21 + -11 Combine like terms: 11 + -11 = 0 0 + -20x = -21 + -11 -20x = -21 + -11 Combine like terms: -21 + -11 = -32 -20x = -32 Divide each side by '-20'. x = 1.6 Simplifying x = 1.6
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