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Simplifying 3(x + 7) + -2 = 4(x + -2) Reorder the terms: 3(7 + x) + -2 = 4(x + -2) (7 * 3 + x * 3) + -2 = 4(x + -2) (21 + 3x) + -2 = 4(x + -2) Reorder the terms: 21 + -2 + 3x = 4(x + -2) Combine like terms: 21 + -2 = 19 19 + 3x = 4(x + -2) Reorder the terms: 19 + 3x = 4(-2 + x) 19 + 3x = (-2 * 4 + x * 4) 19 + 3x = (-8 + 4x) Solving 19 + 3x = -8 + 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. 19 + 3x + -4x = -8 + 4x + -4x Combine like terms: 3x + -4x = -1x 19 + -1x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 19 + -1x = -8 + 0 19 + -1x = -8 Add '-19' to each side of the equation. 19 + -19 + -1x = -8 + -19 Combine like terms: 19 + -19 = 0 0 + -1x = -8 + -19 -1x = -8 + -19 Combine like terms: -8 + -19 = -27 -1x = -27 Divide each side by '-1'. x = 27 Simplifying x = 27
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