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Simplifying 16.8x + -7 + -3x + 5 = 4x + 12 + -1(x + -30) Reorder the terms: -7 + 5 + 16.8x + -3x = 4x + 12 + -1(x + -30) Combine like terms: -7 + 5 = -2 -2 + 16.8x + -3x = 4x + 12 + -1(x + -30) Combine like terms: 16.8x + -3x = 13.8x -2 + 13.8x = 4x + 12 + -1(x + -30) Reorder the terms: -2 + 13.8x = 4x + 12 + -1(-30 + x) -2 + 13.8x = 4x + 12 + (-30 * -1 + x * -1) -2 + 13.8x = 4x + 12 + (30 + -1x) Reorder the terms: -2 + 13.8x = 12 + 30 + 4x + -1x Combine like terms: 12 + 30 = 42 -2 + 13.8x = 42 + 4x + -1x Combine like terms: 4x + -1x = 3x -2 + 13.8x = 42 + 3x Solving -2 + 13.8x = 42 + 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. -2 + 13.8x + -3x = 42 + 3x + -3x Combine like terms: 13.8x + -3x = 10.8x -2 + 10.8x = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 10.8x = 42 + 0 -2 + 10.8x = 42 Add '2' to each side of the equation. -2 + 2 + 10.8x = 42 + 2 Combine like terms: -2 + 2 = 0 0 + 10.8x = 42 + 2 10.8x = 42 + 2 Combine like terms: 42 + 2 = 44 10.8x = 44 Divide each side by '10.8'. x = 4.074074074 Simplifying x = 4.074074074
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