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Simplifying 4 + -1(4x + 17) = 3 + 4(x + 4) Reorder the terms: 4 + -1(17 + 4x) = 3 + 4(x + 4) 4 + (17 * -1 + 4x * -1) = 3 + 4(x + 4) 4 + (-17 + -4x) = 3 + 4(x + 4) Combine like terms: 4 + -17 = -13 -13 + -4x = 3 + 4(x + 4) Reorder the terms: -13 + -4x = 3 + 4(4 + x) -13 + -4x = 3 + (4 * 4 + x * 4) -13 + -4x = 3 + (16 + 4x) Combine like terms: 3 + 16 = 19 -13 + -4x = 19 + 4x Solving -13 + -4x = 19 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -13 + -4x + -4x = 19 + 4x + -4x Combine like terms: -4x + -4x = -8x -13 + -8x = 19 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + -8x = 19 + 0 -13 + -8x = 19 Add '13' to each side of the equation. -13 + 13 + -8x = 19 + 13 Combine like terms: -13 + 13 = 0 0 + -8x = 19 + 13 -8x = 19 + 13 Combine like terms: 19 + 13 = 32 -8x = 32 Divide each side by '-8'. x = -4 Simplifying x = -4
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