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Simplifying 4.7x + -4.2 + -3.3 = 0.7(2x + -6) Reorder the terms: -4.2 + -3.3 + 4.7x = 0.7(2x + -6) Combine like terms: -4.2 + -3.3 = -7.5 -7.5 + 4.7x = 0.7(2x + -6) Reorder the terms: -7.5 + 4.7x = 0.7(-6 + 2x) -7.5 + 4.7x = (-6 * 0.7 + 2x * 0.7) -7.5 + 4.7x = (-4.2 + 1.4x) Solving -7.5 + 4.7x = -4.2 + 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. -7.5 + 4.7x + -1.4x = -4.2 + 1.4x + -1.4x Combine like terms: 4.7x + -1.4x = 3.3x -7.5 + 3.3x = -4.2 + 1.4x + -1.4x Combine like terms: 1.4x + -1.4x = 0.0 -7.5 + 3.3x = -4.2 + 0.0 -7.5 + 3.3x = -4.2 Add '7.5' to each side of the equation. -7.5 + 7.5 + 3.3x = -4.2 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 3.3x = -4.2 + 7.5 3.3x = -4.2 + 7.5 Combine like terms: -4.2 + 7.5 = 3.3 3.3x = 3.3 Divide each side by '3.3'. x = 1 Simplifying x = 1
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