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Simplifying 7 + 4(2x + -5) = 3x + -58 Reorder the terms: 7 + 4(-5 + 2x) = 3x + -58 7 + (-5 * 4 + 2x * 4) = 3x + -58 7 + (-20 + 8x) = 3x + -58 Combine like terms: 7 + -20 = -13 -13 + 8x = 3x + -58 Reorder the terms: -13 + 8x = -58 + 3x Solving -13 + 8x = -58 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -13 + 8x + -3x = -58 + 3x + -3x Combine like terms: 8x + -3x = 5x -13 + 5x = -58 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + 5x = -58 + 0 -13 + 5x = -58 Add '13' to each side of the equation. -13 + 13 + 5x = -58 + 13 Combine like terms: -13 + 13 = 0 0 + 5x = -58 + 13 5x = -58 + 13 Combine like terms: -58 + 13 = -45 5x = -45 Divide each side by '5'. x = -9 Simplifying x = -9
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