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Simplifying -58 = 6x + -7(-4x + -16) Reorder the terms: -58 = 6x + -7(-16 + -4x) -58 = 6x + (-16 * -7 + -4x * -7) -58 = 6x + (112 + 28x) Reorder the terms: -58 = 112 + 6x + 28x Combine like terms: 6x + 28x = 34x -58 = 112 + 34x Solving -58 = 112 + 34x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34x' to each side of the equation. -58 + -34x = 112 + 34x + -34x Combine like terms: 34x + -34x = 0 -58 + -34x = 112 + 0 -58 + -34x = 112 Add '58' to each side of the equation. -58 + 58 + -34x = 112 + 58 Combine like terms: -58 + 58 = 0 0 + -34x = 112 + 58 -34x = 112 + 58 Combine like terms: 112 + 58 = 170 -34x = 170 Divide each side by '-34'. x = -5 Simplifying x = -5
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