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Simplifying 4x + 6 + 19 + -1x + 3x + -1 = 3x + -7.5 Reorder the terms: 6 + 19 + -1 + 4x + -1x + 3x = 3x + -7.5 Combine like terms: 6 + 19 = 25 25 + -1 + 4x + -1x + 3x = 3x + -7.5 Combine like terms: 25 + -1 = 24 24 + 4x + -1x + 3x = 3x + -7.5 Combine like terms: 4x + -1x = 3x 24 + 3x + 3x = 3x + -7.5 Combine like terms: 3x + 3x = 6x 24 + 6x = 3x + -7.5 Reorder the terms: 24 + 6x = -7.5 + 3x Solving 24 + 6x = -7.5 + 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. 24 + 6x + -3x = -7.5 + 3x + -3x Combine like terms: 6x + -3x = 3x 24 + 3x = -7.5 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + 3x = -7.5 + 0 24 + 3x = -7.5 Add '-24' to each side of the equation. 24 + -24 + 3x = -7.5 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = -7.5 + -24 3x = -7.5 + -24 Combine like terms: -7.5 + -24 = -31.5 3x = -31.5 Divide each side by '3'. x = -10.5 Simplifying x = -10.5
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