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Simplifying 12 + -47 = 4(x + -2) + -7 Combine like terms: 12 + -47 = -35 -35 = 4(x + -2) + -7 Reorder the terms: -35 = 4(-2 + x) + -7 -35 = (-2 * 4 + x * 4) + -7 -35 = (-8 + 4x) + -7 Reorder the terms: -35 = -8 + -7 + 4x Combine like terms: -8 + -7 = -15 -35 = -15 + 4x Solving -35 = -15 + 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. -35 + -4x = -15 + 4x + -4x Combine like terms: 4x + -4x = 0 -35 + -4x = -15 + 0 -35 + -4x = -15 Add '35' to each side of the equation. -35 + 35 + -4x = -15 + 35 Combine like terms: -35 + 35 = 0 0 + -4x = -15 + 35 -4x = -15 + 35 Combine like terms: -15 + 35 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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