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Simplifying 4(8x + -38) = 4 + -4(x + 7) Reorder the terms: 4(-38 + 8x) = 4 + -4(x + 7) (-38 * 4 + 8x * 4) = 4 + -4(x + 7) (-152 + 32x) = 4 + -4(x + 7) Reorder the terms: -152 + 32x = 4 + -4(7 + x) -152 + 32x = 4 + (7 * -4 + x * -4) -152 + 32x = 4 + (-28 + -4x) Combine like terms: 4 + -28 = -24 -152 + 32x = -24 + -4x Solving -152 + 32x = -24 + -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. -152 + 32x + 4x = -24 + -4x + 4x Combine like terms: 32x + 4x = 36x -152 + 36x = -24 + -4x + 4x Combine like terms: -4x + 4x = 0 -152 + 36x = -24 + 0 -152 + 36x = -24 Add '152' to each side of the equation. -152 + 152 + 36x = -24 + 152 Combine like terms: -152 + 152 = 0 0 + 36x = -24 + 152 36x = -24 + 152 Combine like terms: -24 + 152 = 128 36x = 128 Divide each side by '36'. x = 3.555555556 Simplifying x = 3.555555556
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