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Simplifying 3x + 7 = 2(x + -4) + 1 Reorder the terms: 7 + 3x = 2(x + -4) + 1 Reorder the terms: 7 + 3x = 2(-4 + x) + 1 7 + 3x = (-4 * 2 + x * 2) + 1 7 + 3x = (-8 + 2x) + 1 Reorder the terms: 7 + 3x = -8 + 1 + 2x Combine like terms: -8 + 1 = -7 7 + 3x = -7 + 2x Solving 7 + 3x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + 3x + -2x = -7 + 2x + -2x Combine like terms: 3x + -2x = 1x 7 + 1x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 1x = -7 + 0 7 + 1x = -7 Add '-7' to each side of the equation. 7 + -7 + 1x = -7 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = -7 + -7 1x = -7 + -7 Combine like terms: -7 + -7 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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