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Simplifying 3x + 4 = 7(x + -2) + 4 Reorder the terms: 4 + 3x = 7(x + -2) + 4 Reorder the terms: 4 + 3x = 7(-2 + x) + 4 4 + 3x = (-2 * 7 + x * 7) + 4 4 + 3x = (-14 + 7x) + 4 Reorder the terms: 4 + 3x = -14 + 4 + 7x Combine like terms: -14 + 4 = -10 4 + 3x = -10 + 7x Solving 4 + 3x = -10 + 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. 4 + 3x + -7x = -10 + 7x + -7x Combine like terms: 3x + -7x = -4x 4 + -4x = -10 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + -4x = -10 + 0 4 + -4x = -10 Add '-4' to each side of the equation. 4 + -4 + -4x = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -10 + -4 -4x = -10 + -4 Combine like terms: -10 + -4 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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