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Simplifying 15(2x + -4) + 20 = -58 + -2(x + 7) Reorder the terms: 15(-4 + 2x) + 20 = -58 + -2(x + 7) (-4 * 15 + 2x * 15) + 20 = -58 + -2(x + 7) (-60 + 30x) + 20 = -58 + -2(x + 7) Reorder the terms: -60 + 20 + 30x = -58 + -2(x + 7) Combine like terms: -60 + 20 = -40 -40 + 30x = -58 + -2(x + 7) Reorder the terms: -40 + 30x = -58 + -2(7 + x) -40 + 30x = -58 + (7 * -2 + x * -2) -40 + 30x = -58 + (-14 + -2x) Combine like terms: -58 + -14 = -72 -40 + 30x = -72 + -2x Solving -40 + 30x = -72 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -40 + 30x + 2x = -72 + -2x + 2x Combine like terms: 30x + 2x = 32x -40 + 32x = -72 + -2x + 2x Combine like terms: -2x + 2x = 0 -40 + 32x = -72 + 0 -40 + 32x = -72 Add '40' to each side of the equation. -40 + 40 + 32x = -72 + 40 Combine like terms: -40 + 40 = 0 0 + 32x = -72 + 40 32x = -72 + 40 Combine like terms: -72 + 40 = -32 32x = -32 Divide each side by '32'. x = -1 Simplifying x = -1
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