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Simplifying 19 = -2(4x + 8) + 5(x + 7) Reorder the terms: 19 = -2(8 + 4x) + 5(x + 7) 19 = (8 * -2 + 4x * -2) + 5(x + 7) 19 = (-16 + -8x) + 5(x + 7) Reorder the terms: 19 = -16 + -8x + 5(7 + x) 19 = -16 + -8x + (7 * 5 + x * 5) 19 = -16 + -8x + (35 + 5x) Reorder the terms: 19 = -16 + 35 + -8x + 5x Combine like terms: -16 + 35 = 19 19 = 19 + -8x + 5x Combine like terms: -8x + 5x = -3x 19 = 19 + -3x Add '-19' to each side of the equation. 19 + -19 = 19 + -19 + -3x Combine like terms: 19 + -19 = 0 0 = 19 + -19 + -3x Combine like terms: 19 + -19 = 0 0 = 0 + -3x 0 = -3x Solving 0 = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 0 + 3x = -3x + 3x Remove the zero: 3x = -3x + 3x Combine like terms: -3x + 3x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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