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Simplifying 0.7x + -3(x + 4) = 5x + -21 Reorder the terms: 0.7x + -3(4 + x) = 5x + -21 0.7x + (4 * -3 + x * -3) = 5x + -21 0.7x + (-12 + -3x) = 5x + -21 Reorder the terms: -12 + 0.7x + -3x = 5x + -21 Combine like terms: 0.7x + -3x = -2.3x -12 + -2.3x = 5x + -21 Reorder the terms: -12 + -2.3x = -21 + 5x Solving -12 + -2.3x = -21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + -2.3x + -5x = -21 + 5x + -5x Combine like terms: -2.3x + -5x = -7.3x -12 + -7.3x = -21 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -7.3x = -21 + 0 -12 + -7.3x = -21 Add '12' to each side of the equation. -12 + 12 + -7.3x = -21 + 12 Combine like terms: -12 + 12 = 0 0 + -7.3x = -21 + 12 -7.3x = -21 + 12 Combine like terms: -21 + 12 = -9 -7.3x = -9 Divide each side by '-7.3'. x = 1.232876712 Simplifying x = 1.232876712
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