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Simplifying 8(x + -3) + -50 = -3(-2x + 24) Reorder the terms: 8(-3 + x) + -50 = -3(-2x + 24) (-3 * 8 + x * 8) + -50 = -3(-2x + 24) (-24 + 8x) + -50 = -3(-2x + 24) Reorder the terms: -24 + -50 + 8x = -3(-2x + 24) Combine like terms: -24 + -50 = -74 -74 + 8x = -3(-2x + 24) Reorder the terms: -74 + 8x = -3(24 + -2x) -74 + 8x = (24 * -3 + -2x * -3) -74 + 8x = (-72 + 6x) Solving -74 + 8x = -72 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -74 + 8x + -6x = -72 + 6x + -6x Combine like terms: 8x + -6x = 2x -74 + 2x = -72 + 6x + -6x Combine like terms: 6x + -6x = 0 -74 + 2x = -72 + 0 -74 + 2x = -72 Add '74' to each side of the equation. -74 + 74 + 2x = -72 + 74 Combine like terms: -74 + 74 = 0 0 + 2x = -72 + 74 2x = -72 + 74 Combine like terms: -72 + 74 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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