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Simplifying -1.5 + -3x + -5.2 + -1x = -3x + 48 Reorder the terms: -1.5 + -5.2 + -3x + -1x = -3x + 48 Combine like terms: -1.5 + -5.2 = -6.7 -6.7 + -3x + -1x = -3x + 48 Combine like terms: -3x + -1x = -4x -6.7 + -4x = -3x + 48 Reorder the terms: -6.7 + -4x = 48 + -3x Solving -6.7 + -4x = 48 + -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. -6.7 + -4x + 3x = 48 + -3x + 3x Combine like terms: -4x + 3x = -1x -6.7 + -1x = 48 + -3x + 3x Combine like terms: -3x + 3x = 0 -6.7 + -1x = 48 + 0 -6.7 + -1x = 48 Add '6.7' to each side of the equation. -6.7 + 6.7 + -1x = 48 + 6.7 Combine like terms: -6.7 + 6.7 = 0.0 0.0 + -1x = 48 + 6.7 -1x = 48 + 6.7 Combine like terms: 48 + 6.7 = 54.7 -1x = 54.7 Divide each side by '-1'. x = -54.7 Simplifying x = -54.7
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