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Simplifying 10x + -3(2x + -4) = 3x + 4.7 Reorder the terms: 10x + -3(-4 + 2x) = 3x + 4.7 10x + (-4 * -3 + 2x * -3) = 3x + 4.7 10x + (12 + -6x) = 3x + 4.7 Reorder the terms: 12 + 10x + -6x = 3x + 4.7 Combine like terms: 10x + -6x = 4x 12 + 4x = 3x + 4.7 Reorder the terms: 12 + 4x = 4.7 + 3x Solving 12 + 4x = 4.7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 4x + -3x = 4.7 + 3x + -3x Combine like terms: 4x + -3x = 1x 12 + 1x = 4.7 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 1x = 4.7 + 0 12 + 1x = 4.7 Add '-12' to each side of the equation. 12 + -12 + 1x = 4.7 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 4.7 + -12 1x = 4.7 + -12 Combine like terms: 4.7 + -12 = -7.3 1x = -7.3 Divide each side by '1'. x = -7.3 Simplifying x = -7.3
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