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Simplifying -4(x + 7) = 6x + -38 Reorder the terms: -4(7 + x) = 6x + -38 (7 * -4 + x * -4) = 6x + -38 (-28 + -4x) = 6x + -38 Reorder the terms: -28 + -4x = -38 + 6x Solving -28 + -4x = -38 + 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. -28 + -4x + -6x = -38 + 6x + -6x Combine like terms: -4x + -6x = -10x -28 + -10x = -38 + 6x + -6x Combine like terms: 6x + -6x = 0 -28 + -10x = -38 + 0 -28 + -10x = -38 Add '28' to each side of the equation. -28 + 28 + -10x = -38 + 28 Combine like terms: -28 + 28 = 0 0 + -10x = -38 + 28 -10x = -38 + 28 Combine like terms: -38 + 28 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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