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Simplifying 4(x + -3) = 8(x + 2) + 48 Reorder the terms: 4(-3 + x) = 8(x + 2) + 48 (-3 * 4 + x * 4) = 8(x + 2) + 48 (-12 + 4x) = 8(x + 2) + 48 Reorder the terms: -12 + 4x = 8(2 + x) + 48 -12 + 4x = (2 * 8 + x * 8) + 48 -12 + 4x = (16 + 8x) + 48 Reorder the terms: -12 + 4x = 16 + 48 + 8x Combine like terms: 16 + 48 = 64 -12 + 4x = 64 + 8x Solving -12 + 4x = 64 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + 4x + -8x = 64 + 8x + -8x Combine like terms: 4x + -8x = -4x -12 + -4x = 64 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -4x = 64 + 0 -12 + -4x = 64 Add '12' to each side of the equation. -12 + 12 + -4x = 64 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = 64 + 12 -4x = 64 + 12 Combine like terms: 64 + 12 = 76 -4x = 76 Divide each side by '-4'. x = -19 Simplifying x = -19
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