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Simplifying 7 + -3x = x + -4(2 + 2x) 7 + -3x = x + (2 * -4 + 2x * -4) 7 + -3x = x + (-8 + -8x) Reorder the terms: 7 + -3x = -8 + x + -8x Combine like terms: x + -8x = -7x 7 + -3x = -8 + -7x Solving 7 + -3x = -8 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 7 + -3x + 7x = -8 + -7x + 7x Combine like terms: -3x + 7x = 4x 7 + 4x = -8 + -7x + 7x Combine like terms: -7x + 7x = 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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