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Simplifying -18 + 8x = 4 + -7(-4x + 6) Reorder the terms: -18 + 8x = 4 + -7(6 + -4x) -18 + 8x = 4 + (6 * -7 + -4x * -7) -18 + 8x = 4 + (-42 + 28x) Combine like terms: 4 + -42 = -38 -18 + 8x = -38 + 28x Solving -18 + 8x = -38 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -18 + 8x + -28x = -38 + 28x + -28x Combine like terms: 8x + -28x = -20x -18 + -20x = -38 + 28x + -28x Combine like terms: 28x + -28x = 0 -18 + -20x = -38 + 0 -18 + -20x = -38 Add '18' to each side of the equation. -18 + 18 + -20x = -38 + 18 Combine like terms: -18 + 18 = 0 0 + -20x = -38 + 18 -20x = -38 + 18 Combine like terms: -38 + 18 = -20 -20x = -20 Divide each side by '-20'. x = 1 Simplifying x = 1
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