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Simplifying 14(2.5x + -3) + 9x + 5 = 4(3.25 + -1x) + 2[5x + -3(x + 1)] Reorder the terms: 14(-3 + 2.5x) + 9x + 5 = 4(3.25 + -1x) + 2[5x + -3(x + 1)] (-3 * 14 + 2.5x * 14) + 9x + 5 = 4(3.25 + -1x) + 2[5x + -3(x + 1)] (-42 + 35x) + 9x + 5 = 4(3.25 + -1x) + 2[5x + -3(x + 1)] Reorder the terms: -42 + 5 + 35x + 9x = 4(3.25 + -1x) + 2[5x + -3(x + 1)] Combine like terms: -42 + 5 = -37 -37 + 35x + 9x = 4(3.25 + -1x) + 2[5x + -3(x + 1)] Combine like terms: 35x + 9x = 44x -37 + 44x = 4(3.25 + -1x) + 2[5x + -3(x + 1)] -37 + 44x = (3.25 * 4 + -1x * 4) + 2[5x + -3(x + 1)] -37 + 44x = (13 + -4x) + 2[5x + -3(x + 1)] Reorder the terms: -37 + 44x = 13 + -4x + 2[5x + -3(1 + x)] -37 + 44x = 13 + -4x + 2[5x + (1 * -3 + x * -3)] -37 + 44x = 13 + -4x + 2[5x + (-3 + -3x)] Reorder the terms: -37 + 44x = 13 + -4x + 2[-3 + 5x + -3x] Combine like terms: 5x + -3x = 2x -37 + 44x = 13 + -4x + 2[-3 + 2x] -37 + 44x = 13 + -4x + [-3 * 2 + 2x * 2] -37 + 44x = 13 + -4x + [-6 + 4x] Reorder the terms: -37 + 44x = 13 + -6 + -4x + 4x Combine like terms: 13 + -6 = 7 -37 + 44x = 7 + -4x + 4x Combine like terms: -4x + 4x = 0 -37 + 44x = 7 + 0 -37 + 44x = 7 Solving -37 + 44x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 44x = 7 + 37 Combine like terms: -37 + 37 = 0 0 + 44x = 7 + 37 44x = 7 + 37 Combine like terms: 7 + 37 = 44 44x = 44 Divide each side by '44'. x = 1 Simplifying x = 1
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