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Simplifying 2(4x + -30) + 2 = 3(3x + -3) Reorder the terms: 2(-30 + 4x) + 2 = 3(3x + -3) (-30 * 2 + 4x * 2) + 2 = 3(3x + -3) (-60 + 8x) + 2 = 3(3x + -3) Reorder the terms: -60 + 2 + 8x = 3(3x + -3) Combine like terms: -60 + 2 = -58 -58 + 8x = 3(3x + -3) Reorder the terms: -58 + 8x = 3(-3 + 3x) -58 + 8x = (-3 * 3 + 3x * 3) -58 + 8x = (-9 + 9x) Solving -58 + 8x = -9 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -58 + 8x + -9x = -9 + 9x + -9x Combine like terms: 8x + -9x = -1x -58 + -1x = -9 + 9x + -9x Combine like terms: 9x + -9x = 0 -58 + -1x = -9 + 0 -58 + -1x = -9 Add '58' to each side of the equation. -58 + 58 + -1x = -9 + 58 Combine like terms: -58 + 58 = 0 0 + -1x = -9 + 58 -1x = -9 + 58 Combine like terms: -9 + 58 = 49 -1x = 49 Divide each side by '-1'. x = -49 Simplifying x = -49
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