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Simplifying 4(2x + -6) + -4 = 4(x + -50) + 24 Reorder the terms: 4(-6 + 2x) + -4 = 4(x + -50) + 24 (-6 * 4 + 2x * 4) + -4 = 4(x + -50) + 24 (-24 + 8x) + -4 = 4(x + -50) + 24 Reorder the terms: -24 + -4 + 8x = 4(x + -50) + 24 Combine like terms: -24 + -4 = -28 -28 + 8x = 4(x + -50) + 24 Reorder the terms: -28 + 8x = 4(-50 + x) + 24 -28 + 8x = (-50 * 4 + x * 4) + 24 -28 + 8x = (-200 + 4x) + 24 Reorder the terms: -28 + 8x = -200 + 24 + 4x Combine like terms: -200 + 24 = -176 -28 + 8x = -176 + 4x Solving -28 + 8x = -176 + 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. -28 + 8x + -4x = -176 + 4x + -4x Combine like terms: 8x + -4x = 4x -28 + 4x = -176 + 4x + -4x Combine like terms: 4x + -4x = 0 -28 + 4x = -176 + 0 -28 + 4x = -176 Add '28' to each side of the equation. -28 + 28 + 4x = -176 + 28 Combine like terms: -28 + 28 = 0 0 + 4x = -176 + 28 4x = -176 + 28 Combine like terms: -176 + 28 = -148 4x = -148 Divide each side by '4'. x = -37 Simplifying x = -37
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