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Simplifying 10(x + -4) = 7x + -19 Reorder the terms: 10(-4 + x) = 7x + -19 (-4 * 10 + x * 10) = 7x + -19 (-40 + 10x) = 7x + -19 Reorder the terms: -40 + 10x = -19 + 7x Solving -40 + 10x = -19 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -40 + 10x + -7x = -19 + 7x + -7x Combine like terms: 10x + -7x = 3x -40 + 3x = -19 + 7x + -7x Combine like terms: 7x + -7x = 0 -40 + 3x = -19 + 0 -40 + 3x = -19 Add '40' to each side of the equation. -40 + 40 + 3x = -19 + 40 Combine like terms: -40 + 40 = 0 0 + 3x = -19 + 40 3x = -19 + 40 Combine like terms: -19 + 40 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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