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Simplifying x + 7 = 4(x + -2) + x Reorder the terms: 7 + x = 4(x + -2) + x Reorder the terms: 7 + x = 4(-2 + x) + x 7 + x = (-2 * 4 + x * 4) + x 7 + x = (-8 + 4x) + x Combine like terms: 4x + x = 5x 7 + x = -8 + 5x Solving 7 + x = -8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 7 + x + -5x = -8 + 5x + -5x Combine like terms: x + -5x = -4x 7 + -4x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -4x = -8 + 0 7 + -4x = -8 Add '-7' to each side of the equation. 7 + -7 + -4x = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = -8 + -7 -4x = -8 + -7 Combine like terms: -8 + -7 = -15 -4x = -15 Divide each side by '-4'. x = 3.75 Simplifying x = 3.75
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