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Simplifying 4x + -14 = 8x + -47 + -1(3x + -14) Reorder the terms: -14 + 4x = 8x + -47 + -1(3x + -14) Reorder the terms: -14 + 4x = 8x + -47 + -1(-14 + 3x) -14 + 4x = 8x + -47 + (-14 * -1 + 3x * -1) -14 + 4x = 8x + -47 + (14 + -3x) Reorder the terms: -14 + 4x = -47 + 14 + 8x + -3x Combine like terms: -47 + 14 = -33 -14 + 4x = -33 + 8x + -3x Combine like terms: 8x + -3x = 5x -14 + 4x = -33 + 5x Solving -14 + 4x = -33 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -14 + 4x + -5x = -33 + 5x + -5x Combine like terms: 4x + -5x = -1x -14 + -1x = -33 + 5x + -5x Combine like terms: 5x + -5x = 0 -14 + -1x = -33 + 0 -14 + -1x = -33 Add '14' to each side of the equation. -14 + 14 + -1x = -33 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = -33 + 14 -1x = -33 + 14 Combine like terms: -33 + 14 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19
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