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Simplifying (x + 4) + -3(x + 2) = x + -47 Reorder the terms: (4 + x) + -3(x + 2) = x + -47 Remove parenthesis around (4 + x) 4 + x + -3(x + 2) = x + -47 Reorder the terms: 4 + x + -3(2 + x) = x + -47 4 + x + (2 * -3 + x * -3) = x + -47 4 + x + (-6 + -3x) = x + -47 Reorder the terms: 4 + -6 + x + -3x = x + -47 Combine like terms: 4 + -6 = -2 -2 + x + -3x = x + -47 Combine like terms: x + -3x = -2x -2 + -2x = x + -47 Reorder the terms: -2 + -2x = -47 + x Solving -2 + -2x = -47 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + -2x + -1x = -47 + x + -1x Combine like terms: -2x + -1x = -3x -2 + -3x = -47 + x + -1x Combine like terms: x + -1x = 0 -2 + -3x = -47 + 0 -2 + -3x = -47 Add '2' to each side of the equation. -2 + 2 + -3x = -47 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = -47 + 2 -3x = -47 + 2 Combine like terms: -47 + 2 = -45 -3x = -45 Divide each side by '-3'. x = 15 Simplifying x = 15
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