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Simplifying 18 + -4(x + -5) = 8(2x + 1) + -50 Reorder the terms: 18 + -4(-5 + x) = 8(2x + 1) + -50 18 + (-5 * -4 + x * -4) = 8(2x + 1) + -50 18 + (20 + -4x) = 8(2x + 1) + -50 Combine like terms: 18 + 20 = 38 38 + -4x = 8(2x + 1) + -50 Reorder the terms: 38 + -4x = 8(1 + 2x) + -50 38 + -4x = (1 * 8 + 2x * 8) + -50 38 + -4x = (8 + 16x) + -50 Reorder the terms: 38 + -4x = 8 + -50 + 16x Combine like terms: 8 + -50 = -42 38 + -4x = -42 + 16x Solving 38 + -4x = -42 + 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. 38 + -4x + -16x = -42 + 16x + -16x Combine like terms: -4x + -16x = -20x 38 + -20x = -42 + 16x + -16x Combine like terms: 16x + -16x = 0 38 + -20x = -42 + 0 38 + -20x = -42 Add '-38' to each side of the equation. 38 + -38 + -20x = -42 + -38 Combine like terms: 38 + -38 = 0 0 + -20x = -42 + -38 -20x = -42 + -38 Combine like terms: -42 + -38 = -80 -20x = -80 Divide each side by '-20'. x = 4 Simplifying x = 4
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