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Simplifying 0.7(2x + 3) = 2.3(x + -3) Reorder the terms: 0.7(3 + 2x) = 2.3(x + -3) (3 * 0.7 + 2x * 0.7) = 2.3(x + -3) (2.1 + 1.4x) = 2.3(x + -3) Reorder the terms: 2.1 + 1.4x = 2.3(-3 + x) 2.1 + 1.4x = (-3 * 2.3 + x * 2.3) 2.1 + 1.4x = (-6.9 + 2.3x) Solving 2.1 + 1.4x = -6.9 + 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. 2.1 + 1.4x + -2.3x = -6.9 + 2.3x + -2.3x Combine like terms: 1.4x + -2.3x = -0.9x 2.1 + -0.9x = -6.9 + 2.3x + -2.3x Combine like terms: 2.3x + -2.3x = 0.0 2.1 + -0.9x = -6.9 + 0.0 2.1 + -0.9x = -6.9 Add '-2.1' to each side of the equation. 2.1 + -2.1 + -0.9x = -6.9 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + -0.9x = -6.9 + -2.1 -0.9x = -6.9 + -2.1 Combine like terms: -6.9 + -2.1 = -9 -0.9x = -9 Divide each side by '-0.9'. x = 10 Simplifying x = 10
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