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Simplifying 1.2(6x + 12) + 1 = 1.5(9x + -3) + 5 Reorder the terms: 1.2(12 + 6x) + 1 = 1.5(9x + -3) + 5 (12 * 1.2 + 6x * 1.2) + 1 = 1.5(9x + -3) + 5 (14.4 + 7.2x) + 1 = 1.5(9x + -3) + 5 Reorder the terms: 14.4 + 1 + 7.2x = 1.5(9x + -3) + 5 Combine like terms: 14.4 + 1 = 15.4 15.4 + 7.2x = 1.5(9x + -3) + 5 Reorder the terms: 15.4 + 7.2x = 1.5(-3 + 9x) + 5 15.4 + 7.2x = (-3 * 1.5 + 9x * 1.5) + 5 15.4 + 7.2x = (-4.5 + 13.5x) + 5 Reorder the terms: 15.4 + 7.2x = -4.5 + 5 + 13.5x Combine like terms: -4.5 + 5 = 0.5 15.4 + 7.2x = 0.5 + 13.5x Solving 15.4 + 7.2x = 0.5 + 13.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13.5x' to each side of the equation. 15.4 + 7.2x + -13.5x = 0.5 + 13.5x + -13.5x Combine like terms: 7.2x + -13.5x = -6.3x 15.4 + -6.3x = 0.5 + 13.5x + -13.5x Combine like terms: 13.5x + -13.5x = 0.0 15.4 + -6.3x = 0.5 + 0.0 15.4 + -6.3x = 0.5 Add '-15.4' to each side of the equation. 15.4 + -15.4 + -6.3x = 0.5 + -15.4 Combine like terms: 15.4 + -15.4 = 0.0 0.0 + -6.3x = 0.5 + -15.4 -6.3x = 0.5 + -15.4 Combine like terms: 0.5 + -15.4 = -14.9 -6.3x = -14.9 Divide each side by '-6.3'. x = 2.365079365 Simplifying x = 2.365079365
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