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Simplifying -4(x + 10) = 3(x + 19.3) Reorder the terms: -4(10 + x) = 3(x + 19.3) (10 * -4 + x * -4) = 3(x + 19.3) (-40 + -4x) = 3(x + 19.3) Reorder the terms: -40 + -4x = 3(19.3 + x) -40 + -4x = (19.3 * 3 + x * 3) -40 + -4x = (57.9 + 3x) Solving -40 + -4x = 57.9 + 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. -40 + -4x + -3x = 57.9 + 3x + -3x Combine like terms: -4x + -3x = -7x -40 + -7x = 57.9 + 3x + -3x Combine like terms: 3x + -3x = 0 -40 + -7x = 57.9 + 0 -40 + -7x = 57.9 Add '40' to each side of the equation. -40 + 40 + -7x = 57.9 + 40 Combine like terms: -40 + 40 = 0 0 + -7x = 57.9 + 40 -7x = 57.9 + 40 Combine like terms: 57.9 + 40 = 97.9 -7x = 97.9 Divide each side by '-7'. x = -13.98571429 Simplifying x = -13.98571429
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