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Simplifying x + -58 = 7(2x + 3) + -14 Reorder the terms: -58 + x = 7(2x + 3) + -14 Reorder the terms: -58 + x = 7(3 + 2x) + -14 -58 + x = (3 * 7 + 2x * 7) + -14 -58 + x = (21 + 14x) + -14 Reorder the terms: -58 + x = 21 + -14 + 14x Combine like terms: 21 + -14 = 7 -58 + x = 7 + 14x Solving -58 + x = 7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -58 + x + -14x = 7 + 14x + -14x Combine like terms: x + -14x = -13x -58 + -13x = 7 + 14x + -14x Combine like terms: 14x + -14x = 0 -58 + -13x = 7 + 0 -58 + -13x = 7 Add '58' to each side of the equation. -58 + 58 + -13x = 7 + 58 Combine like terms: -58 + 58 = 0 0 + -13x = 7 + 58 -13x = 7 + 58 Combine like terms: 7 + 58 = 65 -13x = 65 Divide each side by '-13'. x = -5 Simplifying x = -5
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