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Simplifying 2(x + -30) + -4x = 7 + -3(x + 6) Reorder the terms: 2(-30 + x) + -4x = 7 + -3(x + 6) (-30 * 2 + x * 2) + -4x = 7 + -3(x + 6) (-60 + 2x) + -4x = 7 + -3(x + 6) Combine like terms: 2x + -4x = -2x -60 + -2x = 7 + -3(x + 6) Reorder the terms: -60 + -2x = 7 + -3(6 + x) -60 + -2x = 7 + (6 * -3 + x * -3) -60 + -2x = 7 + (-18 + -3x) Combine like terms: 7 + -18 = -11 -60 + -2x = -11 + -3x Solving -60 + -2x = -11 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -60 + -2x + 3x = -11 + -3x + 3x Combine like terms: -2x + 3x = 1x -60 + 1x = -11 + -3x + 3x Combine like terms: -3x + 3x = 0 -60 + 1x = -11 + 0 -60 + 1x = -11 Add '60' to each side of the equation. -60 + 60 + 1x = -11 + 60 Combine like terms: -60 + 60 = 0 0 + 1x = -11 + 60 1x = -11 + 60 Combine like terms: -11 + 60 = 49 1x = 49 Divide each side by '1'. x = 49 Simplifying x = 49
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