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Simplifying 3x + -30 + -1(x + 28) = 3x + -1(2x + 4) Reorder the terms: 3x + -30 + -1(28 + x) = 3x + -1(2x + 4) 3x + -30 + (28 * -1 + x * -1) = 3x + -1(2x + 4) 3x + -30 + (-28 + -1x) = 3x + -1(2x + 4) Reorder the terms: -30 + -28 + 3x + -1x = 3x + -1(2x + 4) Combine like terms: -30 + -28 = -58 -58 + 3x + -1x = 3x + -1(2x + 4) Combine like terms: 3x + -1x = 2x -58 + 2x = 3x + -1(2x + 4) Reorder the terms: -58 + 2x = 3x + -1(4 + 2x) -58 + 2x = 3x + (4 * -1 + 2x * -1) -58 + 2x = 3x + (-4 + -2x) Reorder the terms: -58 + 2x = -4 + 3x + -2x Combine like terms: 3x + -2x = 1x -58 + 2x = -4 + 1x Solving -58 + 2x = -4 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -58 + 2x + -1x = -4 + 1x + -1x Combine like terms: 2x + -1x = 1x -58 + 1x = -4 + 1x + -1x Combine like terms: 1x + -1x = 0 -58 + 1x = -4 + 0 -58 + 1x = -4 Add '58' to each side of the equation. -58 + 58 + 1x = -4 + 58 Combine like terms: -58 + 58 = 0 0 + 1x = -4 + 58 1x = -4 + 58 Combine like terms: -4 + 58 = 54 1x = 54 Divide each side by '1'. x = 54 Simplifying x = 54
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