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Simplifying 1.1(2.3x + -0.4) + -5.8x = 0.7(2x + -0.3) + -3.3 Reorder the terms: 1.1(-0.4 + 2.3x) + -5.8x = 0.7(2x + -0.3) + -3.3 (-0.4 * 1.1 + 2.3x * 1.1) + -5.8x = 0.7(2x + -0.3) + -3.3 (-0.44 + 2.53x) + -5.8x = 0.7(2x + -0.3) + -3.3 Combine like terms: 2.53x + -5.8x = -3.27x -0.44 + -3.27x = 0.7(2x + -0.3) + -3.3 Reorder the terms: -0.44 + -3.27x = 0.7(-0.3 + 2x) + -3.3 -0.44 + -3.27x = (-0.3 * 0.7 + 2x * 0.7) + -3.3 -0.44 + -3.27x = (-0.21 + 1.4x) + -3.3 Reorder the terms: -0.44 + -3.27x = -0.21 + -3.3 + 1.4x Combine like terms: -0.21 + -3.3 = -3.51 -0.44 + -3.27x = -3.51 + 1.4x Solving -0.44 + -3.27x = -3.51 + 1.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4x' to each side of the equation. -0.44 + -3.27x + -1.4x = -3.51 + 1.4x + -1.4x Combine like terms: -3.27x + -1.4x = -4.67x -0.44 + -4.67x = -3.51 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 -0.44 + -4.67x = -3.51 + 0.0 -0.44 + -4.67x = -3.51 Add '0.44' to each side of the equation. -0.44 + 0.44 + -4.67x = -3.51 + 0.44 Combine like terms: -0.44 + 0.44 = 0.00 0.00 + -4.67x = -3.51 + 0.44 -4.67x = -3.51 + 0.44 Combine like terms: -3.51 + 0.44 = -3.07 -4.67x = -3.07 Divide each side by '-4.67'. x = 0.6573875803 Simplifying x = 0.6573875803
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