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Simplifying 5(3x + -2) + -1(x + -3) = 4(4x + 5) + 13 Reorder the terms: 5(-2 + 3x) + -1(x + -3) = 4(4x + 5) + 13 (-2 * 5 + 3x * 5) + -1(x + -3) = 4(4x + 5) + 13 (-10 + 15x) + -1(x + -3) = 4(4x + 5) + 13 Reorder the terms: -10 + 15x + -1(-3 + x) = 4(4x + 5) + 13 -10 + 15x + (-3 * -1 + x * -1) = 4(4x + 5) + 13 -10 + 15x + (3 + -1x) = 4(4x + 5) + 13 Reorder the terms: -10 + 3 + 15x + -1x = 4(4x + 5) + 13 Combine like terms: -10 + 3 = -7 -7 + 15x + -1x = 4(4x + 5) + 13 Combine like terms: 15x + -1x = 14x -7 + 14x = 4(4x + 5) + 13 Reorder the terms: -7 + 14x = 4(5 + 4x) + 13 -7 + 14x = (5 * 4 + 4x * 4) + 13 -7 + 14x = (20 + 16x) + 13 Reorder the terms: -7 + 14x = 20 + 13 + 16x Combine like terms: 20 + 13 = 33 -7 + 14x = 33 + 16x Solving -7 + 14x = 33 + 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. -7 + 14x + -16x = 33 + 16x + -16x Combine like terms: 14x + -16x = -2x -7 + -2x = 33 + 16x + -16x Combine like terms: 16x + -16x = 0 -7 + -2x = 33 + 0 -7 + -2x = 33 Add '7' to each side of the equation. -7 + 7 + -2x = 33 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 33 + 7 -2x = 33 + 7 Combine like terms: 33 + 7 = 40 -2x = 40 Divide each side by '-2'. x = -20 Simplifying x = -20
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