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Simplifying -4(x + 48) + 2(x + 2) = 4x + 8 Reorder the terms: -4(48 + x) + 2(x + 2) = 4x + 8 (48 * -4 + x * -4) + 2(x + 2) = 4x + 8 (-192 + -4x) + 2(x + 2) = 4x + 8 Reorder the terms: -192 + -4x + 2(2 + x) = 4x + 8 -192 + -4x + (2 * 2 + x * 2) = 4x + 8 -192 + -4x + (4 + 2x) = 4x + 8 Reorder the terms: -192 + 4 + -4x + 2x = 4x + 8 Combine like terms: -192 + 4 = -188 -188 + -4x + 2x = 4x + 8 Combine like terms: -4x + 2x = -2x -188 + -2x = 4x + 8 Reorder the terms: -188 + -2x = 8 + 4x Solving -188 + -2x = 8 + 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. -188 + -2x + -4x = 8 + 4x + -4x Combine like terms: -2x + -4x = -6x -188 + -6x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -188 + -6x = 8 + 0 -188 + -6x = 8 Add '188' to each side of the equation. -188 + 188 + -6x = 8 + 188 Combine like terms: -188 + 188 = 0 0 + -6x = 8 + 188 -6x = 8 + 188 Combine like terms: 8 + 188 = 196 -6x = 196 Divide each side by '-6'. x = -32.66666667 Simplifying x = -32.66666667
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