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Simplifying x + 6 + 2x + -1.5 = 4x + -3 Reorder the terms: 6 + -1.5 + x + 2x = 4x + -3 Combine like terms: 6 + -1.5 = 4.5 4.5 + x + 2x = 4x + -3 Combine like terms: x + 2x = 3x 4.5 + 3x = 4x + -3 Reorder the terms: 4.5 + 3x = -3 + 4x Solving 4.5 + 3x = -3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4.5 + 3x + -4x = -3 + 4x + -4x Combine like terms: 3x + -4x = -1x 4.5 + -1x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 4.5 + -1x = -3 + 0 4.5 + -1x = -3 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -1x = -3 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -1x = -3 + -4.5 -1x = -3 + -4.5 Combine like terms: -3 + -4.5 = -7.5 -1x = -7.5 Divide each side by '-1'. x = 7.5 Simplifying x = 7.5
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