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Simplifying 2 + 3x = 4(-1x + 7) + -47 Reorder the terms: 2 + 3x = 4(7 + -1x) + -47 2 + 3x = (7 * 4 + -1x * 4) + -47 2 + 3x = (28 + -4x) + -47 Reorder the terms: 2 + 3x = 28 + -47 + -4x Combine like terms: 28 + -47 = -19 2 + 3x = -19 + -4x Solving 2 + 3x = -19 + -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. 2 + 3x + 4x = -19 + -4x + 4x Combine like terms: 3x + 4x = 7x 2 + 7x = -19 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 7x = -19 + 0 2 + 7x = -19 Add '-2' to each side of the equation. 2 + -2 + 7x = -19 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = -19 + -2 7x = -19 + -2 Combine like terms: -19 + -2 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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