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Simplifying 3x + 5 = 4x + -7 + -1000 Reorder the terms: 5 + 3x = 4x + -7 + -1000 Reorder the terms: 5 + 3x = -7 + -1000 + 4x Combine like terms: -7 + -1000 = -1007 5 + 3x = -1007 + 4x Solving 5 + 3x = -1007 + 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. 5 + 3x + -4x = -1007 + 4x + -4x Combine like terms: 3x + -4x = -1x 5 + -1x = -1007 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + -1x = -1007 + 0 5 + -1x = -1007 Add '-5' to each side of the equation. 5 + -5 + -1x = -1007 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = -1007 + -5 -1x = -1007 + -5 Combine like terms: -1007 + -5 = -1012 -1x = -1012 Divide each side by '-1'. x = 1012 Simplifying x = 1012
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