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Simplifying 2(3x + -4) + 5(6x + -7) + -7x = 16(x + 15) + -10 Reorder the terms: 2(-4 + 3x) + 5(6x + -7) + -7x = 16(x + 15) + -10 (-4 * 2 + 3x * 2) + 5(6x + -7) + -7x = 16(x + 15) + -10 (-8 + 6x) + 5(6x + -7) + -7x = 16(x + 15) + -10 Reorder the terms: -8 + 6x + 5(-7 + 6x) + -7x = 16(x + 15) + -10 -8 + 6x + (-7 * 5 + 6x * 5) + -7x = 16(x + 15) + -10 -8 + 6x + (-35 + 30x) + -7x = 16(x + 15) + -10 Reorder the terms: -8 + -35 + 6x + 30x + -7x = 16(x + 15) + -10 Combine like terms: -8 + -35 = -43 -43 + 6x + 30x + -7x = 16(x + 15) + -10 Combine like terms: 6x + 30x = 36x -43 + 36x + -7x = 16(x + 15) + -10 Combine like terms: 36x + -7x = 29x -43 + 29x = 16(x + 15) + -10 Reorder the terms: -43 + 29x = 16(15 + x) + -10 -43 + 29x = (15 * 16 + x * 16) + -10 -43 + 29x = (240 + 16x) + -10 Reorder the terms: -43 + 29x = 240 + -10 + 16x Combine like terms: 240 + -10 = 230 -43 + 29x = 230 + 16x Solving -43 + 29x = 230 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -43 + 29x + -16x = 230 + 16x + -16x Combine like terms: 29x + -16x = 13x -43 + 13x = 230 + 16x + -16x Combine like terms: 16x + -16x = 0 -43 + 13x = 230 + 0 -43 + 13x = 230 Add '43' to each side of the equation. -43 + 43 + 13x = 230 + 43 Combine like terms: -43 + 43 = 0 0 + 13x = 230 + 43 13x = 230 + 43 Combine like terms: 230 + 43 = 273 13x = 273 Divide each side by '13'. x = 21 Simplifying x = 21
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