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Simplifying 8x + 7 = 4(3x + -12) Reorder the terms: 7 + 8x = 4(3x + -12) Reorder the terms: 7 + 8x = 4(-12 + 3x) 7 + 8x = (-12 * 4 + 3x * 4) 7 + 8x = (-48 + 12x) Solving 7 + 8x = -48 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 7 + 8x + -12x = -48 + 12x + -12x Combine like terms: 8x + -12x = -4x 7 + -4x = -48 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + -4x = -48 + 0 7 + -4x = -48 Add '-7' to each side of the equation. 7 + -7 + -4x = -48 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = -48 + -7 -4x = -48 + -7 Combine like terms: -48 + -7 = -55 -4x = -55 Divide each side by '-4'. x = 13.75 Simplifying x = 13.75
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