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Simplifying 5(x + -6) + -1(x + 28) = -2x Reorder the terms: 5(-6 + x) + -1(x + 28) = -2x (-6 * 5 + x * 5) + -1(x + 28) = -2x (-30 + 5x) + -1(x + 28) = -2x Reorder the terms: -30 + 5x + -1(28 + x) = -2x -30 + 5x + (28 * -1 + x * -1) = -2x -30 + 5x + (-28 + -1x) = -2x Reorder the terms: -30 + -28 + 5x + -1x = -2x Combine like terms: -30 + -28 = -58 -58 + 5x + -1x = -2x Combine like terms: 5x + -1x = 4x -58 + 4x = -2x Solving -58 + 4x = -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. -58 + 4x + 2x = -2x + 2x Combine like terms: 4x + 2x = 6x -58 + 6x = -2x + 2x Combine like terms: -2x + 2x = 0 -58 + 6x = 0 Add '58' to each side of the equation. -58 + 58 + 6x = 0 + 58 Combine like terms: -58 + 58 = 0 0 + 6x = 0 + 58 6x = 0 + 58 Combine like terms: 0 + 58 = 58 6x = 58 Divide each side by '6'. x = 9.666666667 Simplifying x = 9.666666667
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