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Simplifying 1.3(2x + -4) + 5 = -2.3(x + 1) Reorder the terms: 1.3(-4 + 2x) + 5 = -2.3(x + 1) (-4 * 1.3 + 2x * 1.3) + 5 = -2.3(x + 1) (-5.2 + 2.6x) + 5 = -2.3(x + 1) Reorder the terms: -5.2 + 5 + 2.6x = -2.3(x + 1) Combine like terms: -5.2 + 5 = -0.2 -0.2 + 2.6x = -2.3(x + 1) Reorder the terms: -0.2 + 2.6x = -2.3(1 + x) -0.2 + 2.6x = (1 * -2.3 + x * -2.3) -0.2 + 2.6x = (-2.3 + -2.3x) Solving -0.2 + 2.6x = -2.3 + -2.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.3x' to each side of the equation. -0.2 + 2.6x + 2.3x = -2.3 + -2.3x + 2.3x Combine like terms: 2.6x + 2.3x = 4.9x -0.2 + 4.9x = -2.3 + -2.3x + 2.3x Combine like terms: -2.3x + 2.3x = 0.0 -0.2 + 4.9x = -2.3 + 0.0 -0.2 + 4.9x = -2.3 Add '0.2' to each side of the equation. -0.2 + 0.2 + 4.9x = -2.3 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 4.9x = -2.3 + 0.2 4.9x = -2.3 + 0.2 Combine like terms: -2.3 + 0.2 = -2.1 4.9x = -2.1 Divide each side by '4.9'. x = -0.4285714286 Simplifying x = -0.4285714286
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