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Simplifying -8x + 7 = 4(x + -2) + 3 Reorder the terms: 7 + -8x = 4(x + -2) + 3 Reorder the terms: 7 + -8x = 4(-2 + x) + 3 7 + -8x = (-2 * 4 + x * 4) + 3 7 + -8x = (-8 + 4x) + 3 Reorder the terms: 7 + -8x = -8 + 3 + 4x Combine like terms: -8 + 3 = -5 7 + -8x = -5 + 4x Solving 7 + -8x = -5 + 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. 7 + -8x + -4x = -5 + 4x + -4x Combine like terms: -8x + -4x = -12x 7 + -12x = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -12x = -5 + 0 7 + -12x = -5 Add '-7' to each side of the equation. 7 + -7 + -12x = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -12x = -5 + -7 -12x = -5 + -7 Combine like terms: -5 + -7 = -12 -12x = -12 Divide each side by '-12'. x = 1 Simplifying x = 1
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