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Simplifying 15(-0.02 + -2x) + 2.8 = 7.4 + -5.5(5.4x + 1) (-0.02 * 15 + -2x * 15) + 2.8 = 7.4 + -5.5(5.4x + 1) (-0.3 + -30x) + 2.8 = 7.4 + -5.5(5.4x + 1) Reorder the terms: -0.3 + 2.8 + -30x = 7.4 + -5.5(5.4x + 1) Combine like terms: -0.3 + 2.8 = 2.5 2.5 + -30x = 7.4 + -5.5(5.4x + 1) Reorder the terms: 2.5 + -30x = 7.4 + -5.5(1 + 5.4x) 2.5 + -30x = 7.4 + (1 * -5.5 + 5.4x * -5.5) 2.5 + -30x = 7.4 + (-5.5 + -29.7x) Combine like terms: 7.4 + -5.5 = 1.9 2.5 + -30x = 1.9 + -29.7x Solving 2.5 + -30x = 1.9 + -29.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29.7x' to each side of the equation. 2.5 + -30x + 29.7x = 1.9 + -29.7x + 29.7x Combine like terms: -30x + 29.7x = -0.3x 2.5 + -0.3x = 1.9 + -29.7x + 29.7x Combine like terms: -29.7x + 29.7x = 0.0 2.5 + -0.3x = 1.9 + 0.0 2.5 + -0.3x = 1.9 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -0.3x = 1.9 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -0.3x = 1.9 + -2.5 -0.3x = 1.9 + -2.5 Combine like terms: 1.9 + -2.5 = -0.6 -0.3x = -0.6 Divide each side by '-0.3'. x = 2 Simplifying x = 2
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