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Simplifying 6x + 0.7 + -2x + -7 = 0.6x + -0.3 + 0.4x Reorder the terms: 0.7 + -7 + 6x + -2x = 0.6x + -0.3 + 0.4x Combine like terms: 0.7 + -7 = -6.3 -6.3 + 6x + -2x = 0.6x + -0.3 + 0.4x Combine like terms: 6x + -2x = 4x -6.3 + 4x = 0.6x + -0.3 + 0.4x Reorder the terms: -6.3 + 4x = -0.3 + 0.6x + 0.4x Combine like terms: 0.6x + 0.4x = 1x -6.3 + 4x = -0.3 + 1x Solving -6.3 + 4x = -0.3 + 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. -6.3 + 4x + -1x = -0.3 + 1x + -1x Combine like terms: 4x + -1x = 3x -6.3 + 3x = -0.3 + 1x + -1x Combine like terms: 1x + -1x = 0 -6.3 + 3x = -0.3 + 0 -6.3 + 3x = -0.3 Add '6.3' to each side of the equation. -6.3 + 6.3 + 3x = -0.3 + 6.3 Combine like terms: -6.3 + 6.3 = 0.0 0.0 + 3x = -0.3 + 6.3 3x = -0.3 + 6.3 Combine like terms: -0.3 + 6.3 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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