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Simplifying 4(x + 4) + 3 = 8x + 4(x + 3) Reorder the terms: 4(4 + x) + 3 = 8x + 4(x + 3) (4 * 4 + x * 4) + 3 = 8x + 4(x + 3) (16 + 4x) + 3 = 8x + 4(x + 3) Reorder the terms: 16 + 3 + 4x = 8x + 4(x + 3) Combine like terms: 16 + 3 = 19 19 + 4x = 8x + 4(x + 3) Reorder the terms: 19 + 4x = 8x + 4(3 + x) 19 + 4x = 8x + (3 * 4 + x * 4) 19 + 4x = 8x + (12 + 4x) Reorder the terms: 19 + 4x = 12 + 8x + 4x Combine like terms: 8x + 4x = 12x 19 + 4x = 12 + 12x Solving 19 + 4x = 12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 19 + 4x + -12x = 12 + 12x + -12x Combine like terms: 4x + -12x = -8x 19 + -8x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 19 + -8x = 12 + 0 19 + -8x = 12 Add '-19' to each side of the equation. 19 + -19 + -8x = 12 + -19 Combine like terms: 19 + -19 = 0 0 + -8x = 12 + -19 -8x = 12 + -19 Combine like terms: 12 + -19 = -7 -8x = -7 Divide each side by '-8'. x = 0.875 Simplifying x = 0.875
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