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Simplifying 5(4x + -3) + -2x = x + -2(x + -2) + 19 Reorder the terms: 5(-3 + 4x) + -2x = x + -2(x + -2) + 19 (-3 * 5 + 4x * 5) + -2x = x + -2(x + -2) + 19 (-15 + 20x) + -2x = x + -2(x + -2) + 19 Combine like terms: 20x + -2x = 18x -15 + 18x = x + -2(x + -2) + 19 Reorder the terms: -15 + 18x = x + -2(-2 + x) + 19 -15 + 18x = x + (-2 * -2 + x * -2) + 19 -15 + 18x = x + (4 + -2x) + 19 Reorder the terms: -15 + 18x = 4 + 19 + x + -2x Combine like terms: 4 + 19 = 23 -15 + 18x = 23 + x + -2x Combine like terms: x + -2x = -1x -15 + 18x = 23 + -1x Solving -15 + 18x = 23 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -15 + 18x + x = 23 + -1x + x Combine like terms: 18x + x = 19x -15 + 19x = 23 + -1x + x Combine like terms: -1x + x = 0 -15 + 19x = 23 + 0 -15 + 19x = 23 Add '15' to each side of the equation. -15 + 15 + 19x = 23 + 15 Combine like terms: -15 + 15 = 0 0 + 19x = 23 + 15 19x = 23 + 15 Combine like terms: 23 + 15 = 38 19x = 38 Divide each side by '19'. x = 2 Simplifying x = 2
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