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Simplifying 2(1.5x + -2.1) + 1.7 = 2(2.4x + -3.5) Reorder the terms: 2(-2.1 + 1.5x) + 1.7 = 2(2.4x + -3.5) (-2.1 * 2 + 1.5x * 2) + 1.7 = 2(2.4x + -3.5) (-4.2 + 3x) + 1.7 = 2(2.4x + -3.5) Reorder the terms: -4.2 + 1.7 + 3x = 2(2.4x + -3.5) Combine like terms: -4.2 + 1.7 = -2.5 -2.5 + 3x = 2(2.4x + -3.5) Reorder the terms: -2.5 + 3x = 2(-3.5 + 2.4x) -2.5 + 3x = (-3.5 * 2 + 2.4x * 2) -2.5 + 3x = (-7 + 4.8x) Solving -2.5 + 3x = -7 + 4.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.8x' to each side of the equation. -2.5 + 3x + -4.8x = -7 + 4.8x + -4.8x Combine like terms: 3x + -4.8x = -1.8x -2.5 + -1.8x = -7 + 4.8x + -4.8x Combine like terms: 4.8x + -4.8x = 0.0 -2.5 + -1.8x = -7 + 0.0 -2.5 + -1.8x = -7 Add '2.5' to each side of the equation. -2.5 + 2.5 + -1.8x = -7 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -1.8x = -7 + 2.5 -1.8x = -7 + 2.5 Combine like terms: -7 + 2.5 = -4.5 -1.8x = -4.5 Divide each side by '-1.8'. x = 2.5 Simplifying x = 2.5
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