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Simplifying 1.1(15 + -3x) + -0.7x = 0.7 + -0.3(x + -1.2) (15 * 1.1 + -3x * 1.1) + -0.7x = 0.7 + -0.3(x + -1.2) (16.5 + -3.3x) + -0.7x = 0.7 + -0.3(x + -1.2) Combine like terms: -3.3x + -0.7x = -4x 16.5 + -4x = 0.7 + -0.3(x + -1.2) Reorder the terms: 16.5 + -4x = 0.7 + -0.3(-1.2 + x) 16.5 + -4x = 0.7 + (-1.2 * -0.3 + x * -0.3) 16.5 + -4x = 0.7 + (0.36 + -0.3x) Combine like terms: 0.7 + 0.36 = 1.06 16.5 + -4x = 1.06 + -0.3x Solving 16.5 + -4x = 1.06 + -0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3x' to each side of the equation. 16.5 + -4x + 0.3x = 1.06 + -0.3x + 0.3x Combine like terms: -4x + 0.3x = -3.7x 16.5 + -3.7x = 1.06 + -0.3x + 0.3x Combine like terms: -0.3x + 0.3x = 0.0 16.5 + -3.7x = 1.06 + 0.0 16.5 + -3.7x = 1.06 Add '-16.5' to each side of the equation. 16.5 + -16.5 + -3.7x = 1.06 + -16.5 Combine like terms: 16.5 + -16.5 = 0.0 0.0 + -3.7x = 1.06 + -16.5 -3.7x = 1.06 + -16.5 Combine like terms: 1.06 + -16.5 = -15.44 -3.7x = -15.44 Divide each side by '-3.7'. x = 4.172972973 Simplifying x = 4.172972973
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