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Simplifying 5(x + -2) + -4(5x + -1) = -16(x + 1) + 5 Reorder the terms: 5(-2 + x) + -4(5x + -1) = -16(x + 1) + 5 (-2 * 5 + x * 5) + -4(5x + -1) = -16(x + 1) + 5 (-10 + 5x) + -4(5x + -1) = -16(x + 1) + 5 Reorder the terms: -10 + 5x + -4(-1 + 5x) = -16(x + 1) + 5 -10 + 5x + (-1 * -4 + 5x * -4) = -16(x + 1) + 5 -10 + 5x + (4 + -20x) = -16(x + 1) + 5 Reorder the terms: -10 + 4 + 5x + -20x = -16(x + 1) + 5 Combine like terms: -10 + 4 = -6 -6 + 5x + -20x = -16(x + 1) + 5 Combine like terms: 5x + -20x = -15x -6 + -15x = -16(x + 1) + 5 Reorder the terms: -6 + -15x = -16(1 + x) + 5 -6 + -15x = (1 * -16 + x * -16) + 5 -6 + -15x = (-16 + -16x) + 5 Reorder the terms: -6 + -15x = -16 + 5 + -16x Combine like terms: -16 + 5 = -11 -6 + -15x = -11 + -16x Solving -6 + -15x = -11 + -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. -6 + -15x + 16x = -11 + -16x + 16x Combine like terms: -15x + 16x = 1x -6 + 1x = -11 + -16x + 16x Combine like terms: -16x + 16x = 0 -6 + 1x = -11 + 0 -6 + 1x = -11 Add '6' to each side of the equation. -6 + 6 + 1x = -11 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -11 + 6 1x = -11 + 6 Combine like terms: -11 + 6 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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