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Simplifying 4.5[x + -2] + 1.5 = 2[3x + -4] + -1 Reorder the terms: 4.5[-2 + x] + 1.5 = 2[3x + -4] + -1 [-2 * 4.5 + x * 4.5] + 1.5 = 2[3x + -4] + -1 [-9 + 4.5x] + 1.5 = 2[3x + -4] + -1 Reorder the terms: -9 + 1.5 + 4.5x = 2[3x + -4] + -1 Combine like terms: -9 + 1.5 = -7.5 -7.5 + 4.5x = 2[3x + -4] + -1 Reorder the terms: -7.5 + 4.5x = 2[-4 + 3x] + -1 -7.5 + 4.5x = [-4 * 2 + 3x * 2] + -1 -7.5 + 4.5x = [-8 + 6x] + -1 Reorder the terms: -7.5 + 4.5x = -8 + -1 + 6x Combine like terms: -8 + -1 = -9 -7.5 + 4.5x = -9 + 6x Solving -7.5 + 4.5x = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -7.5 + 4.5x + -6x = -9 + 6x + -6x Combine like terms: 4.5x + -6x = -1.5x -7.5 + -1.5x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 -7.5 + -1.5x = -9 + 0 -7.5 + -1.5x = -9 Add '7.5' to each side of the equation. -7.5 + 7.5 + -1.5x = -9 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + -1.5x = -9 + 7.5 -1.5x = -9 + 7.5 Combine like terms: -9 + 7.5 = -1.5 -1.5x = -1.5 Divide each side by '-1.5'. x = 1 Simplifying x = 1
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